China Prisantian! La la la la la la la La la la la la la la Prt Stan Prt Plan Prt Plan Dude Squad, I'm trying to keep the singing out of me cause I do not want to fail this challenge I do not want to sing whatsoever I feel like this is gonna be freaking difficult Magistically y'know But hey, dude squad It's me though gonna beg in the game with another video And today I'm starting something with this channel I'm trying to do three videos a day Because if you guys didn't know my new year's resolution was to try and hit 100,000 subscribers by the end of the year And what do I need to do to do that?  I'm gonna try and do one challenge a day and then One TV show a day like you know TV shows or like a series a day and then like maybe a song or if there's no new song out I'll do another series.  Okay, but yeah, did that my screen just stopped working It's no it what okay Okay, but yeah today we're gonna be doing a try not to sing a long challenge I reckon it's gonna be difficult because I have been singing to a lot of songs recently They legit like every song that comes on I start singing to it and I'm just Yeah, so I feel like this is actually gonna be difficult for me because I still got that in me I still want to sing I still want to do all of that. So I need your help do squad. Okay, do squad do squad I need your help if I sing you have to subscribe and leave a like But I will try and not to sing but if I do not sing you still have to subscribe and leave a like so no matter what I got you in my hands do squad, but yeah, let's just get straight into this. I'm freaking excited I hope you guys are too in need to do this Okay, the rules are try not to sing along no dancing no fan girling sash fan boy No headbopping or no lip-syncing well and no lip-syncing Easy-peasy. Oh, okay. I hear some I I hear I learned a song in the background It was the only thing uh-huh. I will not sing. Oh Oh, that song was hot I'm not this song is hot, too. I get what I can't dance as well. I can't do anything. I'm just I'm doing this. Okay. Do this. I wonder what the next song is gonna be though This is one of my all-time favorite songs That's one of my all-time favorite song. Oh, I love the song as well dying here guys do squad You can handle it Logan.   No No TVXQ. This is so good. Why are you doing this to me?  Hey Scott. Damn it. I said coming one of my favorite groups as well Oh, because I'm mixed nine and the unit They're just too talented standing I Got through that by talking about them. Wasn't this one of the most expensive music videos of all time I'm pretty sure one one of BAP's music videos was the most expensive of all time But it's probably changed now. I don't really know this song. So I'm good with this Yo, I just read up. I'll do it at the end. I'll do this at the end, but I just realized that I Read I something I'm closing my eyes because this dance is too addictive for me every time I see it I want to do it. So if I'm not saying it, I'm not doing it Okay, okay. I'm not even sure if I'm looking at the camera. That's okay. I Didn't react to it, but it's so good. Okay. I'm good with this song It's up. It's on my playlist, but I can handle this song Easy peasy easy peasy Even though I was about to say like I can't even talk the lyrics. Can I Even though I was about to say the catchy MR dot MR dot card. They're amazing Don't do this to me Super Junior with one of the catchier songs of all time and Dancers oh dude, I Love Super Junior my heart. They just shot my heart. Then they can't just be dancing I don't know, but they just shot my heart. I do that every time. Okay, so I guess it does They just shot my heart the one there was a heavy comeback soon. I'm not feeling energetic. I'm feeling sad Super sad one of my favorite songs heard the song before And now there's got to be people like, hey, this is a legendary song Come on. Come on. Not everyone was into K-pop at the time.   I hate it when people do that. Oh Tation did not do that. The temptation did not do that. I want to do that. I Really just want to do that dance But I won't Infinite I love this song. No, I just started humming No, I just continue going in I need to get it out. I need to get it out I need to get it out need to get it out need to get it out need to get it out need to get it out Wow, don't you know? Okay, it's out. It's out. I'm actually so happy Me wanting to dance for so long. I like this song. Thank you for watching subscribe for more I only found one song. Oh That's right the part that I wanted to show you guys how we was a red velvet red velvet red velvet See this right here. I always thought it was just a thing that was like But it saves river bridge flavor riverage flavor, I feel like I'm late to this party That was actually really difficult for me. That was actually super freaking difficult. I am surprised I actually failed with one song like the temptation for so many songs was strong I really wanted to dance shall we dance because that shall we dance? I can't do it right, but I just love doing that. Okay, and then coming then So many times I just wanted to sing okay guys, okay, like legit That's got me dead, but I guess it's gonna be all for this video You guys did enjoy it you guys didn't think it was short thumbs up, but I leave it a like and also comment down But no if you passed or if you did not and if you did not pass which song did you fail with because I failed with Why don't you know by John huh because oh my god, that was a good song But yeah, if I didn't hum if I didn't hum I would have made it because I hummed and I'm like skirt I'm gonna dance of the rest of the song and I did it all down So that's where I failed so if you guys fail Let me know in the comments down below and if you passed or so Let me know in the comments down below and also subscribe to get the new touch up because big more Challenges come to you guys every day Stay tuned for that and also, uh, yeah, I hope you guys have a great day and just keep on smiling and Adios


Hi everyone, Shawn with jaskiescasebreaks.com here doing a random team randomizer for 2021 absolute football Pick your team number two half case break This is a randomizer We're gonna give away nine teams to nine spots total everyone is guaranteed a team just randomizing the names in the break Not the teams So that's the list of teams that were given away from the Bucks down to the Seahawks in pick your team number two I've copied and pasted that list right there And then here is the list of customers from David Baker down to Jerry Grant with last spot mojo We're gonna randomize just the customer names Copy and paste the results next to this and whatever team you're paired up with is what team you get for pick your team number two The break itself So good luck guys dice roll for the randomizer three and a one four times and There's the list fourth and final time David Baker on top down to Terry Cahill So four times on the randomizer four times on the dice And there's the results So David Baker with the Bucks Christian Escalero with the Chiefs Stephen Kendrick with the Dolphins John Malafatano with the Cowboys Terry Cahill with the Lions Peter Ang with the Packers Bill Norton with the Rams Jerry Grant with the Colts and Terry Cahill with the Seahawks and there you go guys That's the team random randomizer for 2021 absolute football pick your team number two the break itself coming up next. I'm Sean Jasper case breaks calm. Thanks for hanging out


Time, not important. Only life important. Yep. We're going there. Things are about to get a little bit philosophical now that we're dealing with the fifth element. No, not alchemical quintessence, but close. That wacky 1990 sci-fi about a killer planet, the power of love, and you know, Bruce Willis' wacky taxi adventures and all that good stuff. So, major spoiler alert, the fifth element is literally love. Well, kind of. It's actually this woman called Lelu Manai Lakaturiba Lamina Chai Ekbat Deh Sabat. Lelu for short, who is the fifth element and in essence a perfect supreme being of sorts. In a way, she's kind of like Avatar Aang, destined to unite with the other classical elements in an ancient Egyptian temple to act as a defense system against this super dark evil force called Mr. Shadow, which takes on the form of an evil planet and whose goal is to destroy life in a cosmic cycle every 5,000 years. Hmm, looks kind of like Nibiru. Anyway, it's a movie that's had its fair share of criticism, especially in the gender department.  Aside from the fifth element herself, there's a real lack of divine feminine in this story. But then again, her nature itself does embody many characteristics of the divine feminine. Powerful, unique, and beyond the understanding of nearly everyone that she meets. Regarding the plot, we have a kind of Rava versus Vaatu thing happening, like from the Legend of Korra. And it's not hard to draw lines to Avatar here considering the whole elemental theme, huh? In the intro, we see an archaeologist deciphering ancient words regarding the conjunction of celestial bodies, something we should all do more of, you know. Which, by the way, if you haven't picked up your edition of the 2021 Almanac of the New Age, I might highly recommend it, because it helps you to do just that without being randomly surprised by a giant robo-alien thing.  I wonder if this is subtly depicting how humanity keeps falling asleep, and thus the light that illuminates sacred knowledge is not currently stable. Yet, of course, when the advanced beings come to show the way, the light is blinding, powerful, and concrete. There's also a sense here that humans are the custodians of Earth, and so we have to protect it from darkness and destruction ourselves. And while these higher beings help when the time is right, they cannot do it for us. While love is shown as this mythical force that these advanced beings can use to vanquish the darkness, it could also be said that love is a neutral energy between light and dark, one that is capable of harmonizing both sides, ultimately resetting the cycle, something that's echoed in Zorg's speech later on. Now all of this ancient knowledge is of course passed down through a secret brotherhood of priests, acting as keepers throughout the generations, of which there are many stories of secret societies doing the same in our history. And amazingly in the future where the main story takes place, priest Cornelius is also an expert of astrophenomenon. He's not just an expert on the metaphysical, but also seemingly the scientific study of space. And there's certainly a sense that he got that whole balancing thing down to a T, working to better his understanding of both science and spirit by combining the two fields. So when the military fires a bunch of missiles at Mr. Shadow, it's interesting to see how they treat Cornelius, who tries to explain to them what Mr. Shadow is, to which he is mostly ignored and they continue trying to brute force the problem. Yet of course as he warns... Evil begets evil, Mr. President. Also subtly referencing that the military's weapons themselves, or at least their intentions, are evil. Mr. Shadow, symbolic of our Shadow selves, demonstrates that it will only grow in power if we try and destroy it with the same mindset that created it. As the movie describes, the only way to truly end darkness is through love. Even more interesting is this disconnect between the President of Earth and the Earth itself. While of course they are trying to protect the Earth and all of its life, when we actually see Earth, we have to ask, are those people really living? Everything is so heavily controlled by police and robots, it's smoggy. You see some crazy representations of people like the guy who tries to rob Corbin in his apartment, and I'm not sure I saw a single tree. Now Major Dallas to that end of course represents the Divine Masculine, also fulfilling the warrior archetype. And certainly he checks all the classic hero tropes of the ex-Loner warrior destined to save the world and falling in love with a perfect supreme sacred woman. Despite this, the way it plays out does provide us with a bit of wisdom for ourselves concerning synchronicity. He describes that what he really wants in his heart is to meet that perfect woman. I want a million women. Just want one. Perfect one. And she literally falls from the sky into his cab. Perhaps there's a nod to destiny in some way, as it's their love story that's the key to resolving the big conflict in the movie, but it's also a reminder for us that when we stumble into a synchronicity, we have to be willing to take that leap of faith and follow where it leads us. For Corbin, he has an opportunity to give Lelu up to the coppers, but ends up putting his whole life at risk for her instead. But it's this path which leads to the world being saved. Corbin has to ask himself what's important, following his heart and helping someone in need, or earning more points on his taxi license. Now Lelu on the other hand, through her character explores the nature of spirituality, DNA, and our physical capabilities of our soul within a body. A big topic in spirituality today is the science of ascension. I mean hey, we made a workshop on that which you can watch for free if you want. And what enlightenment might look like or do to our physical bodies. Lelu's DNA is perfect, but it isn't inhuman. There's nothing really out of the ordinary about her DNA. She has the same genetic composition as us, just more tightly packed, allowing for greater inherent genetic knowledge and potential. Perhaps there's a message here that the human genome is already whole, we just need to utilize its latent capabilities to find inner harmony, leading to a leveling up of what we are truly capable of. So if Corbin was like Link and Lelu was Princess Zelda, Zorg would be Ganondorf, completing the trinity. Zorg actually dropped some pretty interesting wisdom in his discussion with Cornelius. Despite his evil role, his whole name is Jean-Baptiste Emmanuel Zorg, being named after the prophet and saint in many religions, and Emmanuel meaning God is with us in Hebrew. Zorg explains that life itself results from chaos and disorder at times. He believes that by creating a little distraction, you know, ending all the life on the planet, he's encouraging life to renew itself, so the priest and him are really in the same business. While it might sound like he's being brainwashed by Ganon, I mean Mr. Shadow, when we look deeper, we do find some hidden spirituality. His ideology is an alignment with the wisdom of the importance and honorable role of darkness in our reality. Much like the tower or death card in the Major Arcana or the shells of the Clepoat in the Tree of Life, agents of darkness often come to give structure, boundaries and direction for light to move through, as well as clearing stagnant energy to make way for new and evolved paradigms. Much like the cycles and sine waves that move throughout nature, energy flows through peaks and valleys that balance each other out.  He's a businessman at heart, powerful from the money of capitalism and a reflection of society's state of awareness and evolution. As we mentioned, this future society is portrayed as consumerist and still dwelling with issues of pollution and crime, even in spite of great new technologies. Perhaps that's why the darkness had to come, to help propel the evolution of consciousness forward and bring about divine love. However, while the love between Corbin and Lelu is highly symbolic, it doesn't seem to affect basically anyone else by the end of the movie, which might call us to ask ourselves, would it have been better for humanity and its pollution to be destroyed? This, at the very least, seems to be the underlying thinking behind Zorg's criminal activity. Ultimately, in the face of darkness, humans must come together to accomplish things and stop evil, something we wouldn't do otherwise. This is what makes us evolve as a species. Zorg perfectly encapsulates his philosophy in his quote about glass, saying, this glass is serene and boring, but when destroyed, a lovely ballet ensues full of form and color.  They are a part of the chain of life. Interestingly though, Zorg is only a monster because life experiences took him there, but he started like any of us. There's a nice lesson from Cornelius about how fickle life is. All of Zorg's power counts for absolutely nothing when his entire empire could come crashing down because of one little cherry. Still, Cornelius saves Zorg's life, showing us the virtue of the angels, even towards the demons. Now when the team finally makes it to the alien space opera, we get to meet Ruby Road and Plav Laguna. Ruby is one of the most unique parts of this movie.  And then as for Plav Laguna, she has some very ascended master vibes going on. The Mondo-Shawans, those crazy cool robot guys from the beginning, entrusted her with the safekeeping of the elemental stones, who actually carries them inside her body as a safeguard. From a spiritual perspective, this seems to describe how we all embody the classical elements within us.  Interestingly, following in from the Mondo-Shawans from earlier, she doesn't seem overly concerned with her own death, echoing the movie's sentiment that time is not important, only life. Deeper though, it appears as though she knew she was going to die all along in order for the stones to get out of her. And we're not even going to ask how she got those stones inside her in the first place. That'd be one hard pill to swallow, let alone perform an entire opera with those giant rocks in your belly. Mad props to her. Perhaps the reason superior beings don't fear death as we do though, is because they know the bigger picture. They know these lives are transitory, and so they don't mind dying for a cause, as they understand the purpose of this life of theirs in the bigger scheme of things. Knowing that the flux and flow between life and death is transient, they'll be back in the right place and the right time as life requires it. In traditional tarot, the horus that death is riding upon is stepping over a prone king, which symbolizes that not even royalty can stop change. Plava understands her role and accepts her death after imparting wisdom to Dallas that Lelu is still fragile and somewhat human despite her seeming physical evolution. This idea of Lelu still being human however, forms a key part of the ending, as up until this point, she has been learning all of human history via an alphabetical database. When she learns of war, she loses hope in humanity after seeing the darker sides of our past. Certainly, we can't blame her.  I'd be pretty shocked about our history too. However, Corbin's love for her shows her that love is an undefinable thing. It's not a stone like the other elements, but a feeling or an energy that exists between people that permeates everything and is worth fighting and caring for. It's actually pretty funny that when it comes down to it, none of the characters know how to activate the super love bomb. Lelu doesn't even know what will happen, but she continues to follow her divine calling to be on that platform without second-guessing herself, even if she didn't know at the end how to activate the final weapon. She follows her own inner voice and calling and is guided into defeating the darkness, speaking to the importance of following our intuition and our own inner guide. Ultimately, love is shown to be something with no boundaries, no clear explanations, but still exists through us, changing our lives in powerful ways. And through thousands of years, it will stay as the most important thing worth fighting for. It's no accident that, in a time of such modernized technologies and possibilities, humanity once again has to turn to nature for help in the form of the elements. It reminds people that technology cannot always provide protection. It is nature that has always been the source of ultimate power, as it exists forever. And only things that are eternal, like nature and love, are of the most true significance. Today, it seems people either love or hate this movie, but whatever way the coin falls, it is undoubtedly a fun experience and packed to the brim with spiritual wisdom.  Toodles!


Trump. Biden doesn't understand what he's doing during most dangerous time in the history of the U.S. Former President Donald Trump said in a new interview that President Biden is not up to the task during a precarious time for the U.S. amid growing tensions around the globe. Look, this is the most dangerous time in the history of our country because of weaponry. Nuclear power is so enormous. This isn't two army tanks going and shooting each other in World War I, World War II, soldiers standing behind a bunker and shooting people. Trump said during an interview with Fox News, and we have a man that doesn't understand what he's doing. We have a man that stood up and told the whole world that we have no ammunition. Trump said of Biden, Do you know I had every ammunition building full to the brim three years ago? We've given it all away. But if you gave it all away, terrible. The only thing worse than that is to tell the world. He has told China and these other places that are hostile that we have no ammunition. During an interview on CNN this month, Biden let slip while explaining the controversial decision to send cluster bombs to Ukraine that the United States is low on 155 millimeter artillery ammunition rounds, sparking outrage on social media as critics, called the commander-in-chief's competency into question. It was a very difficult decision on my part. And by the way, I discussed this with our allies, discussed this with our friends up on the hill, Biden told.


For the Circuit Python Parsec today, I wanted to show you how you can use the keypad library to use buttons. So anytime you're using a button on a microcontroller, you will run into issues about debouncing.  Does it continuously spam the fact that it's held down or allow you to release it? So there's a lot of setup that we do. It's not that bad, and we've covered some of that before. But one of the really nice things about the keypad library designed for keyboards and macropads and game controllers is that it handles this implicitly under the hood really easily. So all I need to do is import the keypad library, and then I'm going to set up the one button that's built onto this Qtpy here as keypad keys, give it the button pin. This little button here can be used as a user pin, and then tell it which, if it's a pull up or pull down value when pressed, in this case it's false. I'm also setting up the NeoPixel so it'll blink, and then you can see here when I press it, if you look at my code view down at the bottom, it's saying pressed, released, pressed, released, pressed, released, I'm also lighting up the LED, and I'm keeping count there just so you can see it's not getting lots of spurious hits and flying by. It's actually very nice and controlled. And so the way that I'm reading that in the main loop is just to say button equals buttons.eventsget, so that is constantly checking to see has anything changed about the button that we've specified here. If it has, then we check is it pressed or is it released? When it's pressed, I'm typing or printing out the word pressed and the variable there, I, which is my counter, and when it's released, it just prints out released and then it'll increment that counter so that we can get a new number the next time we press it. So I'm not having to do any debouncing, I'm not having to create my own states to keep track of things. It all happens right inside of the keypad library. And so that's how you can use the keypad library to make working with buttons plain easy. That's your circuit python parsec.


Okay guys, I don't want to make this video for a while because I saw this article the other day and it really struck a nerve with me. I'm like, come on, you know, female birth control is bad enough. Mind you, now you have male birth control. Now, you know my stance on pharmaceutical drugs. There's obviously some good ones that really do help. For the most part, many of these pharmaceutical drugs, they have ridiculous side effects.   And so they had to stop this study. They stopped it. They stopped it for a couple of specific reasons. Number one, a person committed suicide. Number two, cardiovascular issues. Number three, depression.  Like literally this birth control pill for men would make you into not a man. No sperm, no testosterone, depression, CVD. I think we have enough problems in the world, specifically for health problems, that we don't need another pill to shove down our throats.  We're going to have a sicker society, but mind you, man, I don't know where society is going.  Like everything has a consequences.  And so popping pills like this and expecting nothing to really happen, it's crazy. I'm glad they stopped the study. I hope this never gets approved.    Well, they care about his profits.  Anyways, that's my rant. I'm going to keep this video short, but this is fucked, man. I don't even know where to start with this. This on both ends is horrible. Horrible for the men, horrible for the women in the relationship, because fuck, man, at the end of the day, you need testosterone for your libido. You need testosterone to get hard. You need testosterone to stay healthy, to stay lean, to be healthy men or male.  And yeah, I know you guys are probably going to say female birth control pill. That's even, that's really bad, too. You know, my fiance works in a fertility clinic. I'll tell you stories about birth control pill. How it completely destroys women.  Condoms work. They work quite well. So, I don't know, guys. You let me know what your thoughts on this male birth control pill.  If people want to start popping this, and if they actually accept the consequences, so be it, but I think we're going down a wrong path. Anyways, guys, talk to you soon. Peace.


How am I going to do this? I'm just going to put you guys right here for just a moment. Because I've got to mix this resin. That's not a good view, but right here. So my apologies for our internet being crappy. I'm going to pull up the feed so I can see what y'all are saying. It's so weird. It does so good for so many days and then all of a sudden it's like, we're going to disconnect every other minute. So I'm just mixing up some stone coat countertop epoxy. And I'm using the countertop epoxy because it is heat resistant up to 500 degrees Fahrenheit. So I can give this to someone that drinks super hot coffee and know that everything is going to be fine on it. It's very durable, scratch resistant, chemical resistant. Everything resistant, the UV resistance is amazing. So for all of those reasons, I'm using it for my tumbler. I'm not using, I know back 500 degrees would be a lot of coffee. So I'm not using art coat because it takes a little bit longer for that to cure. I mean, the working time is doubled. So the cure time is extended as well, which is fine. But since I want this to cure a little bit faster, I'm using countertop. Hello, hello, hello, everyone. Thank you for coming on to this feed. It's my last one with poopy. I'm fairly sure that this is mixed enough, but I'm never sure. So I'm just keeping it going just a little bit. It needs an alcohol. I got something right here. Thank you. How did the front of Jeff's board turn out? I know he was worried about it. I can show you guys in a moment. He's wiping off any residual powder so that this area stays super white. Every single fingerprint. The board turned out okay. Still need to clear coat it. Love the kitty in the background. He hangs out there. The windows open at all. I know he makes me nervous too, but that boy cat, he knows, he knows, he knows what's up. All right, I'm going to try to do this all one-handedly. So you can see that all of the colors right here, the pretty purple, the red, it looks like there's a bit of gold as well and the deep blue. I love this color. Can anyone tell me how I can prevent white resin to sink into underlighting resin? So most white pigments are heavier, so they tend to sink. You could do a white ink and that might prevent it a little bit. Okay, I'm doing this one-handed so no one judge me. Yeah, I'll show you guys a close-up of what he's doing in a minute. Oh yeah, I haven't tried ACC resin in a while. I wonder if it's just kind of carbon paper. As usual, I should have sealed this in, but that's fine. It is not easy filming. Oh, did you want me to come over there? No. I want you to work on your that. It's okay. No, I'm almost done. All right. Okay, let's add some heat. Maybe. Yeah. No. Maybe. Oh, there. There we go. I'm trying not to add too much because I don't want to super liquefy. All I merely want to do is pop the bubbles, which I did. Sweet. So after the feed or in a minute, I'm going to take, don't know where my box for that. Oh, it's over there. That box and put it over this. And then I have a space heater that I put up to it to make sure there's no bubbles. That is the piece from yesterday. Hold on. Let me get these sticky gloves off and I will show you. Turn a light on. So you can't really see it except for on the edges. I'm trying to have the light catch it. So you can still see that crazy little bit right there, but it hid, it hid it where the resin was deeper. So I think after one more coat, it'll be just fine. I don't know that he's going to take this one to the show or a convention or whatever. It may just be made available on here for y'all. I'm not sure, but that's what, that's how it turned out, which was not too shabby. I don't think should have sealed it seal that overflow. You think you should bring it? Maybe he will. I don't know. It depends on how something, how the one he's working on now turns out. This is where my co-pilot hangs out. Isn't it, Bowie? You're so cute. Who told you to be so cute? Was it your dad? It was. It was your dad. I know it. I know it. I know it. Bowie, are you so cute? Are you so cute? Are you so cute? I know it. I know it. I know it. Okay, let's go see what Jeff's working on. Maybe that is a character called Marnie. And he's going to paint it. And excuse me, I believe he's recording it. Oh, well then I will record it. So if you missed it before, these are the new colors. I don't have these on the website yet, but I will shortly. This one is the one that's on there now. And then there's this one. It's like a green, gold, bronzey color. So this is how many I have of each right now. And I will put them on the website tonight or in the morning. If you guys are subscribed to our newsletter or updates on our website, then you'll be notified first. So make sure you subscribe to our website. Hmm. The sticky cup that I have to throw away past you. Never mind. Trash can is out there. It's over here. This is what Dallas looks like tonight. Nothing spectacular except for the Dallas. All right, you guys. Um, thank you for the board looks awesome. Showing up and seeing what we're up to today. I hope you guys have an awesome night. There goes a little boy dog. It's true vamp you do. Um, yeah. Now we love you to Sheila. I hope you guys enjoyed it. Please leave us a thumb share our videos and see what we're up to tomorrow. Maybe early because the weekend. But if you're in ATVs poor people, we'll let you guys know. That's where we post. Anyways, we will. Yeah, I'll cover it. I'll cover it. I will. We'll see you guys tomorrow. Can I have another? You never know what someone's going through. You have to let me know. I just can't. I knew it. Um, yeah. And remember, we do the test. So you don't have to. You're horrible. You just made that video horrible. Those people probably thought there was a. Get horrible.


Well, you should always seek a response. You want to give the the subject of the You know your inquiry a chance to respond So I mean I mentioned Donald Trump before before I write any fact check. I Send emails or call his spokesperson to see if there's a response But then if I don't get a response, I still go ahead and and publish you you want to give you really want to give the The subject of your story every opportunity to respond and sometimes you can you can do it in many different ways You could you could send an email you can make a phone call You could leave a letter with a you know at their office and say I am writing this article about this issue But certainly you shouldn't wait forever until you know You know the the grass is is is three feet tall Eventually you have to you have to write your article just make sure you've done your best to not only get a response from the Subject of you inquiry, but also I mean you mentioned you have an information from a verified source I would try to get more than one source get as many sources as you can Because one source may have a particular perspective, but other sources will be able to round out your reporting as well So do you always have an obligation to check with the politician or check with the object of the of the story? Yeah, generally, you know, it's not they're not going to be situations where you You know if you particularly if particularly if you're going to say, you know They may not mind it if you're going to write an article saying hey what that person said is completely true and factual and They're doing a great job. They may not need to respond to that But if you're going to say what that person said is completely false and they're misleading people then Clearly you should be able to go to them and say look. I think you made a mistake here. What's your response?


Now, workers at the Police Service Commission have shut down the headquarters of Bojaya in a protest over an alleged takeover of the ongoing recruitment of 10,000 constables by the force headquarters. The protestant workers forced the permanent secretary William A. Law and directors out of their offices, as they declared a three-day war and strike with effect. Immediately, the workers declared a showdown with a commission management led by Mosulium Smith, a retired Inspector General of Police, whom they accused of surrendering a PSC constitutional mandate to the police.


NAMASKARA Nannisru Dr. Mallika Arjun Kalishti I am a consultant hematologist hematoconcologist and bone marrow transplant physician at Manipal Hospital Bangalore Bone marrow transplantation is the bone marrow factory where blood is produced stem cells are taken by mother 3 different blood types KEMPRAKTHA, BILYRECTHA and PLATELITE bone marrow transplantation is not done properly some blood is in cancer some are in leukemia some are in inherited hemoglobinopathy some are in thalassemia some are in sickle cell disease some of the blood is produced by the factory so when we replace a diseased bone marrow from healthy normal bone marrow that is called as bone marrow transplantation so when we replace a diseased bone marrow from healthy normal bone marrow from healthy normal bone marrow that is called as bone marrow transplantation and then we have an appropriate donor who is HLA matched so after that we take normal healthy stem cells from the donor and destroy the diseased bone so when we replace a diseased bone we will use the stem cells from the healthy donor to replace it that is called bone marrow transplantation so when we transplant a bone marrow transplantation we do it at any time who needs it so most common indication for bone marrow transplantation is thalassemia group of disorders thalassemia is a blood type that is called as measure and when we replace a normal gene it does not have blood it needs to have a lot of blood so this is a common condition in Asia there are two leukemia acute lymphoblastic leukemia in this type of leukemia it is very high risk and because of treatment there is a high risk acute leukemia and bone marrow transplantation that is why now in this type of leukemia there is a lymphoma in this type of leukemia there is a primary immunodeficiency disorder in this type of leukemia so in other types of leukemia there is a lot of blood that is why we do it or when it is replaced by cancerous cells when it is replaced by a normal gene when it is replaced by refractory leukemia and lymphomas when it is replaced by bone marrow transplantation in other types of leukemias in multiple types of leukemias when it is replaced by a little bit of control it should not be a big relapse it should be cured bone marrow transplantation


Have you heard about the bell conspiracy? I'm talking about the theory that says ancient bells with their powerful frequencies could instantly heal due to certain vibrational frequencies they emit, but these bells were buried, destroyed, and replaced. But why were these bells destroyed after World War II? This is because if you sit in a bell and someone hits it and it begins to resonate, it also starts to support your body's natural healing ability just like that. But why were they destroyed? Sit back, grab a snack, and let's talk about it. These weren't your average dinner bells. We're talking about massive cathedral bells, the kind that resonate through your bones, and tuning forks that could literally shake the darkness away and light up your soul. Have you heard about the Tarterians? It was said that they supposedly knew all about the secret powers of acoustic resonance. They used it to heal and to elevate human abilities. But it seems this didn't sit well with some folks.


Thanks very much. I'd like to thank the organizers for the opportunity to speak here. So what I'd like to talk about is a little bit more of a down to earth about some kind of geometry on a certain site. And I hope you'll see maybe later in the talk there's some kind of algebraic structures which arise which are maybe a little bit different. The idea is to view geometry as algebra in some way. So there's a lot of algebraic manipulations that we would like to do which are sort of inspired by the small object argument in some way. Although that doesn't necessarily play a big role in itself, in and itself. This is a part of an ongoing joint project with Ludmila Katsarkov, Alex Noel and Ponav Pandit. And the project concerns basically some stuff about Konsevich Soymelman, point of view on structure and infinity of cluster varieties, log-Kolabiyao things and stuff like that. And also Gaiotov-Mornaytsky, spectral networks. So last time I gave a talk actually about the same subject. So maybe you can see on the video probably something about the general framework of the project. So this time I'd like to talk a little bit more about the precise geometry. So the motivation, I'll describe this a little bit later. The motivation is that if we have a, yeah, andy-neight scan, we have a family of ordinary differential equations which we'll call nabla t, connections on a bundle. The bundle can maybe be fixed on a Riemann surface x. And we let rho t be the de-monitory representations. Then as t goes to infinity, say from pi1 of x into sl, uh, sl and c. Okay, as rho, as t goes to infinity, then the rho t, well it's going to be, n is going to be equal to 3 today, okay? Well maybe I'll start with n equals 2 to say something about n equals 2. As t goes to infinity, rho sort of approaches a limit which is an action of pi1 on a building. And here we're using parot and parot's theory. And the idea of our project is that we'd like to understand the building starting from limiting data for nabla t. And limiting data, this is a Higgs field. Roughly speaking, the Higgs field is sort of the leading term of nabla t. It's the term in which it has coefficient t. And our Higgs field gives a spectral curve. So we have the Higgs field in particular, the spectral curve of phi. So what's the spectral curve of phi? To just be extremely brief, it's just, um, it's a ramified cover of x contained in t star x. So for our purposes, we can just view this as a multivalued section of omega 1x, in fact an n value. So let's call it lambda 1, lambda n with the condition summation of lambda i equals 0. That's the trace, that's the condition that the trace of the Higgs field is 0 because we're looking at SLN representations. We assume that the determinant of the connection is trivial. So in terms of this picture of the spectral curve, the lambda i's are just the different values of the ramified curve inside the codangent bundle of x. So at a general point of x, we just have n different one form on x. How do you know they're different? And n one forms which, we make generosity assumptions so that, for example, we'll be assuming that the curve is irreducible. If they're not different, then it's more complicated. Okay, so, yeah, there's the eigenvalues of phi, yeah. So this is my question, maybe, does this Higgs field have a connection with a Simpson correspondence? Well, a little bit, but not completely. I mean, the last time I was here, I made a board with lots of different columns on it, explaining that a little bit. So let me just refer to the video of that conference. Which conference are you talking about? Sorry, which video of the conference are you talking about? The one for Maxime's birthday. Conceivage birthday conference. Let's see, so to get down to, now that's all the motivation stuff. So to get down to the basics, so basically, so these are holomorphic differentials on our complex Riemann surface, but we just take the real part, okay? So we get, these are real differentials. The fact that they correspond to real parts of holomorphic differential forms just means that they're harmonic, okay? And of course, I'm saying this away from the ramification points. At the ramification points, a lambda i can switch with a lambda j. We'll see the picture of that in a minute. And the sort of initial lemma, or proposition, let's say, which we did in our first paper with Kassar Kovnoil and Pandit, is that the differential, so let BB, the building given by Parrot, then we have a limiting map, the universal cover of X into B. Let me say this is R building, okay? We have a limiting map, harmonic map from the universal cover of X into B, which is equivariant for the action of pi1. And the main point here is that D of H is equal to this vector of form. Now what does that mean? The building is locally Rn minus 1, locally pieces in Rn minus 1. The Rn minus 1 is just viewed as the set of vector element points in Rn, whose sum equals 0, or equals some constant. So the condition summation of lambda i equals 0 means that the differential, a map into Rn minus 1, is given by n vectors whose sum equals 0. So this is a, you might say, a valid equation. And the reason for this is local WKB theory. Now this is actually, we discussed the proof in our paper, but I guess it was, you might say, probably would have been well known. In any case, for n equals 2, this whole theory is well known. So let me discuss that for now. So for n equals 2, then the Higgs field is just, so then the spectrum of the Higgs field, since it's lambda 1 and lambda 2 whose sum equals 1, whose sum equals 0, then lambda 2 is just minus lambda 1. So we just have a plus or minus a differential, and that corresponds to the, if we take the square, then we get a section of the tensor square of the canonical bundle. So that's a quadratic differential. So you've probably heard the whole theory about the relationship between quadratic differentials and maps to trees basically. That's what's happening here. B is, in this case, is the tree. Maybe I should say dimension of B equals n minus 1. So the map H, so in this case, the map, the building is a tree and the map from x tilde to t factors. This is in our paper we call this phi, maybe. Let's call this whole thing. T phi is the tree of leaves of the foleyation defined by the differential form real part of lambda 1 or real part of minus lambda 1. Remember that at a ramification point, those two guys can switch around. Let me just draw ramification point. So a simple ramification point of a quadratic differential is the point where there will be no choice of uniform choice of square root of the quadratic differential. So lambda 1 is going to be something like z to the 1 half dz, which is d of z to the 3 halves up to the constant. Now if you try to draw the level sets, so the leaves are sort of real part of z to the 3 halves equal constant. And if we try to draw this, we get a, we'll do this in the wrong direction I suppose, but this classical picture. So the foleyation, at a singular point like that, the foleyation looks something like this. And the space of leaves is a tree which you might draw in the opposite direction because points here correspond to leaves here. The origin corresponds to these three lines that come together. This guy is this guy and this guy is this guy. And the harmonic map is just, locally it's just a projection from x. This is in x tilde. This is in T phi. So what's being said here basically is that the size of, I'm not saying the details, but the size of the monodromy transport function for the connection, if the connection has a large term which approaches a quadratic differential, then the size of the transport from one point to another is sort of the, it's the integral of this quadratic differential from one point to the other. This, in Thurston's terminology, this is like a measured foleyation. There's a measure transverse to the foleyation and the distance in that measure is exactly the growth rate of the monodromy. Sorry, I should say the monodromy, the size of the monodromy is e to the t times that measure. Now, this, what we wanted to do in our project is to understand this for n bigger than 2 and see how it relates to Gaiotto-Mornitzky's spectral networks. And as, so when we were here last summer of 2014, we basically decided to concentrate our efforts on the case n equals 3 for maybe I'll explain the reason in a moment. Okay, so the goal of course is to understand the case of n arbitrary. So far we've only been looking at the case n equals 3. The point about this case is that in this case, dimension, the real dimension of x is 2 which is equal to the real dimension of the building. In the tree case, and that's why you have this quotient by the foleyation, in the tree case the dimension of the building is 1 and the dimension of x is 2. So the map has to contract one dimensional fibers. That's why we have these leaves. In the case n bigger than or equal to 4, then generically at least the image of the map is going to be some, you know, thin subspace of the building. So in that case it's much less clear how to get a hold of the points of the building. But in this case at least the dimensions are the same. So we can hope to get a hold of some points of the building at least starting from the points of x. Here we basically got a hold of all the points of the building. I mean it turns out that the map for x tilde to t phi is surjective. So you get all the points of the tree by just leaves of the foleyation. So here what's happening, and that's what I'm going to be talking about today, what's happening is that the image of the curve is some subset of the building but it's not sort of the whole building. Part of the question is how to recover the rest of the building. So now this is what leads to the notion of pre-building. So pre-building is the thing we get before the building. So this is basically the image of x tilde in B phi. So B phi is, we would like to have a similar factorization statement. B phi is supposed to be depending, we're supposed to have, we'd like to have a similar situation there. Let me just remark what's the, what's the characteristic of this situation with the tree that we'd like to replicate? So the point is that this map, x tilde to t, depends on some kind of complicated limiting process. I didn't say so but in Perot's work you need to choose an ultra filter. You take some kind of complicated limit on an ultra filter. So the building that you get there, in Perot you don't have any geometric control over what it looks like. Whereas in the case of the tree of leaves of affiliation we have a really easy, or you might say somewhat easy, geometric picture of what this tree, what points of this tree you represent. And that picture only depends on the quadratic differential. So we'd like to have a similar situation here. We'd like to be able to construct a building B phi with a map from x tilde to B phi with a property that really it only depends in some geometric way on the spectral curve, on these differential. The quadratic differential you mentioned is just a determinant of phi. It's a determinant of phi, yeah. Okay, so let's call this B phi pre. Now once you look at an example, so we did a basic example in our first paper. Once we look at an example we see that x tilde is not going to subject onto a building. So that's why you get this idea of a pre-building, which is going to be essentially the image of x tilde plus maybe a little bit of extra stuff. And so the audience is mainly, mainly we would like to construct this pre-building. Then maybe the building, to go from the pre-building to the building there's sort of a small object argument. But for one thing it doesn't seem completely unique and maybe it's not completely essential. So maybe the real statement is that we have a factorization like this. So here's our map to the building H. Maybe the real thing we would like to consider is a map from x tilde to the pre-building factoring into the building. But the pre-building should sort of contain the structure of the building near the points of x tilde at least. So now the question is, what is a pre-building? So there's lots of definitions of buildings. There's books and papers and everything discussing what are buildings and so on. But we can see from this example that we really want to understand subsets of buildings rather than just buildings. And the axiomatics for buildings are usually pretty strongly related to the axiom that any two points are contained in the common apartment. Which sort of implies that we're already looking at big R2s in our two-dimensional building, these R2s that are sort of going off to infinity. And some of those are exactly going to be the directions which are not hit by x tilde. So here's where we can get to the question of a site. So what is the basic question of what is a pre-building? And so we wanted to have an axiomatic notion of this type of object. And furthermore, so it turns out that there's a whole process involved in the construction of this guy, which I'll be discussing. And we'd like to view that process as something algebraic rather than something analytic. Because a lot of the points of view on buildings have a lot of metric stuff in them. Some of the metric stuff is obviously crucial. But maybe the idea is to try to stay in the world of algebras as much as possible. So let's consider the case. Let's consider the case n equals 3. Our buildings are modeled on the standard apartment, R2. R2, as I said, should be thought of as the points x1, x2, x3 summing to 0. What is x tilde? x tilde is the universal cover of x. So our buildings are modeled on the standard apartment, which is in R2. And the valgroup ax is just S3. And the affine valgroup is translation semi-direct product S3. So these give some kind of special affine transformations. Well, let's call this A. This is the apartment now. So now what is geometry inside the apartment look like? Geometry inside the apartment is controlled by three different directions. So there's three directions of reflection hyperplanes, separated by 60 degrees. So these are the hyperplanes of the reflections along which the transpositions in S3 are reflections. So these are the guys xi equals xj. Now let me comment that, in fact, we have a little bit more structure. So at any point, we have sort of three preferred, actually six rays. So there are six, but they're labeled into, they're divided into two groups. They have a parity label. So if you think about it, in S3, there's a rotation of order three, but there's not a rotation of order six. So there's nothing which is going to turn us by 60 degrees. The rotation in S3 turns by 120 degrees, which means that the different, it preserves the parity of the vertices. So the edges coming out from a point have a parity attached to them, which is preserved. Well, I mean there's two groups.  An element of S3, S3 is the group which preserves, say, the origin. An element of S3 preserves the parity of the edges. There's no element that goes from here to here. There's only one that goes from here. You can rotate or reflect or whatever. You have to triangle, but not an hexagon. Yeah, yeah. Okay, so that's just a sort of side comment. Now we have half planes delimited by these reflection hyperplanes. The reflection hyperplanes in the affine valve group are sort of any translates of these guys. But you are not in the arithmetic situation. You take R2 as translation. We're taking R2, yeah, because this is due to the motivation here. The edge lengths in our building are going to be sort of exponential. I mean, they're going to be the exponents of the size of the monodromy. There's no reason a priori that those should be in some, I mean, they'll be in some subgroup of maybe probably rank N or something like that. Probably not. It's actually the periods of the spectral curve. I mean, there's kind of the real parts of the periods of the spectral curve, which are some subgroup of R, which are the translation lengths. But it was just a question of terminology. Usually people are called affined by who they are. Okay, that R affine valve group or something. Okay, so we have reflection half-planes. Okay, so standard half-planes. The half-planes are dominated by translates of these three lines. Now an enclosure is just any compact intersection of closed half-plane. So it's convex. So we can just draw these. I mean, a standard one might be a triangle or a parallelogram. There are intersections of standard ones. Standard ones, yeah. Any kind of hexagon. We also have a point. So let's call the point P. We have segments. That's about it. I mean, by these, I mean, fill the N, of course. Okay, so NK is going to be the category of enclosures. So NK is the category of enclosures with maps, which are given by the elements of the affine valve group. The inclusion, you don't consider inclusions of inclusion. Inclusion, yeah, an inclusion. Category of the maps. The maps just have to be linear maps, but they have to be linear maps that aren't, that don't. They're allowed to turn by an element of S3, but not. But then they map some figure into another figure. Yeah, yeah, yeah, a map into, a map E into F, E into E prime, you might say. Yeah, so for example, a triangle maps into a parallelogram. Inside, yeah, yeah. Now, one guy should map into the other, okay? And in particular, the point P maps into everybody in lots of different ways. And the segments, I mean, we have, I mean, an enclosure has edges which are maps from segments into the enclosure, okay? I mean, there's also a map, there's also a part of an edge. And also the directions for the... As long as they preserve, yeah. So they preserve the metric. They preserve the metric, yeah, yeah. I mean, there's a Euclidean metric on this guy. That's not actually the metric which is useful for our WKB problem, but still. Okay, now, so the point is that inclusion has a fairly simple structure of sight. This is, you might say, inspired by, once I heard people saying that rigid geometry, in rigid geometry, maybe Tate had a site where you had rigid open sets and the point was that you only liked finite covers by rigid open sets. I don't know if I can maybe confirm or deny that. Anyway, this is maybe inspired by that idea which is that coverings are finite coverings. Are surjections from finite disjoint unions. So you're not going to be fighting it back in the topology? No, because in the topology, you can take an enlarge of family with those to be covered in. The generating covering, okay. Generating coverings. Generating family. The topology is generated by coverings which are finite disjoint unions. The point is you're not allowed, so we're not allowed to, because we could try to do, we're not allowed to sort of subdivide the triangle into a whole sequence of triangles like that, okay. That would be a surjection. You would have a surjection from a union of infinitely many triangles onto the triangle. That's not a covering. But in your examples, it seems that the interior, otherwise disjoint, is this, can be overlapped? No, no, no, no, no. Maps from disjoint unions.  So for example, the map from, this would be a covering. They can overlap if they want. Of course, the point is not to have them overlap. The point is to have them intersect just along the edges. This guy is not actually going to be very helpful as a covering because. You can always refine into a covering where they don't overlap. You can always refine to a covering where they don't overlap. In fact, you can always refine into a covering which is sort of standard in the fact, in the sense that it's just cutting by, cutting by a bunch of lines like that and so on. Finite, everybody's finite, yeah. So now, what are the sheaves for this topology? The point is that this topology is not subcanonical. Because your maps are not piecewise. Yeah. So if we have an enclosure, then the pre-sheaf represented by that enclosure is not a sheaf. But if we let E tilde be the associated sheaf, then what is E tilde of F? So maps, F into E tilde, it's piecewise, piecewise affine maps. We call these maybe folding maps. So we can have a map from an enclosure or to a different enclosure which sort of folds, but we're only allowed to fold along these reflection lines. So it can fold things up and... So when you say piecewise, it is also finite. Finite, piecewise. That's why we wanted to say that we only have finite coverings generating our topology. So there is a one-dimensional version of what you're describing now, which is just somehow piecewise linear maps between the intervals. Yeah, yeah, yeah. That would be the case that you would use to do trees. That's what's catch up to on the RCS topic. At some point. Excuse me. Don't you mean maps from F to E, not E tilde here? Well, I mean, okay. From the space F to the space E. And in fact, maybe that's a good question. Maybe I should say that the sort of the underlying set of points. So F, so... My picture is wrong. I'm sorry. Suggested piecewise linear maps between the intervals, but I think the slope should always be one or minus one. Yeah, yeah. That's a bigger restriction. I mean, I didn't think about this too much, but I think that there should be like a piecewise linear version, which is probably actually well known or something like that, of this whole discussion. In this discussion, we're just limiting ourselves because we're interested in buildings for this value group. We're limiting ourselves to maps whose... which if it rotates, the rotation is only given by an element of S3. Or in the case of one dimension, S2. I mean, for a general league group, you'll have the value group of the league group acting on the... the carton algebra. And that's going to give you the transformations that you want to look at. The underlying set of points of E, of an enclosure E is E of P, where P is the point. And we can think of that... E of P becomes a metric space and so on. So, here I could have marked F. Now, the thing that we're interested in doing is we're interested in sort of gluing together the pieces to form something like our building or our pre-building. And for that, we introduced just a basic definition because let me just explain here's an example which we would like to sort of rule out. I might say some bad example. Ah, so, sorry. So, then our... the objects we would like to look at will be then view the sheaves on the side of enclosures. Now, a bad example. So, let me just... So, first of all, note, first of all, that if U inside E, E of P, if U inside E of P is an open set, so remember, E of P is just the usual space of points. Then it corresponds to a sheave. Let's call it U tilde. It's the set of maps. U tilde of F is the set of maps F into E tilde such that F of P maps into U. But this is not generally finitely generated. You might have a triangle. Just consider some open set. This open set is sort of tessellated by sub-triangles, but they just have to get smaller and smaller as you sort of go towards the boundary. Wait, when you say open set, do you mean a sub-sheave? No, no, no. This E of P is the usual topological space. Just the triangle. Okay, uh-uh. When we start talking about arbitrary sheaves, then it's not clear what we want to talk about for the topology, but for an enclosure itself, the topology is just the usual topology. Yeah, inside R2. E of P is containing R2. And you sort of look at this open set describing some sub-sheave of the... Yeah, it's just the sub-sheave of all the guys which go into that open set. It's a valid sheave in closures. It's just not going to be a very nice one. But, I mean, it's one which could actually happen inside our building because of the fact that we're talking about edge lengths, which could be arbitrary in particular arbitrarily small, uh, something like this could actually happen inside the building. But what we'd like to avoid is the following thing. So, um, we'd like to avoid having something like E1 Union E2 over an open set U when we glue, yeah. I mean, E1 might be equal to E2, for example. We might glue together two copies of the triangle over the same open set. Okay, so you don't want all the sheaves. That's what you want. Yeah. This is not going to be a very good object. Could you impose a fanatness condition? Yeah, so that's what I'm going to explain. At least hope to. Okay, so, uh, what we'd like to avoid this type of thing is, uh, we say that a sheaf F is finitely generated if there exists a surjection from a finite disjoint union of enclosures. I guess, like, you know, a surjection in the topological sin. I mean, a surjection has to be a surjective map of sheave. And you see a sheave at the corresponding interspace or not in a sheave can be represented by the interspace or both. Well, except that we have the S3 actions. I'm not completely sure about that. So it's a little bit like, uh, in Topol's theory, sometimes you have coheret sheaves or things of that sort. So could it be like the subtly Topol's of coheret sheaves that don't exist? Maybe. Is this something you'd prefer to present it in fact? Well, I'm going to get to that in a minute. As I said, this is not actually a condition which we usually want to impose because our building is not going to be finitely generated. I mean, it's going to have infinitely many. Notice, for example, the R2 itself is not an enclosure because I ask the enclosures to be compact. You could maybe discuss whether you want to do that or not. But in particular, to get R2, you'd have to, you know, cover it by infinitely many triangle. But we say F is finitely related to the fiber product. For any two enclosures mapping to F, the fiber product is finitely generated. I wasn't able to prove this actually, but we would like to show that you get a Hausdorff topological space if we have one of these guys. So this is like the notion of quasi-compact and quasi-separate. Quasi-separate, yeah. So it looks like are you working in something which is like here and topos in the sense of I thought that was a good question. That's a good question. Well, anyway, so the definition is that a construction is going to be a finitely related sheath. In the case of N equal to 1, the sheaths that you get are some kind of good sheaths or some kind of polygon. In the case of N equal to 1, I mean, I'm not playing, but I have figures like piecewise, some graph. I think so. But you can have infinitely many. I mean, it's like an R. The goal is to get something which essentially recovers the case of R trees and R buildings. So for the case of trees, the idea would be to recover the theory of R trees. You can have, you know, an arbitrary collection of medium. That's the hope in any case. So the idea is that a construction is, okay, a definition of construction is finitely related. And now we can do things with constructions. We can sort of construct things with constructions. So maybe an accessory definition is that a co-fibration, maybe an accessory definition is that and I think we need this, is that a co-fibration is a map of, say, constructions is an injection of sheaves such that for any enclosure mapping into F prime, the trace of the enclosure, the intersection with F is finitely generated. This is a sub-shef of E. So again, we would like to not have an inclusion of an open set or something like that. And then, for example, pushouts along co-fibrations preserve constructions. And this is the basic operation which we'd like to use. Well, let me just get back to the case of X tilde and the pre-building and so on. So getting back to our geometric situation, we can write X tilde as a union of small open sets and sort of define a we can kind of define an enclosure EI for each UI. So maybe modify the open sets so that they look in terms of the coordinate system given by the differentials so that they look like enclosures. The UI intersect UJ giving a gluing relation among the EIs. And from there, then we glued these together. Glue them together to get F0, which is an initial construction. So the first step to define our pre-building is going to be to glue together little pieces corresponding to small open sets of X tilde. Well, infinitely many to cover X but sort of locally finitely many. That's maybe I was thinking about the case of the case of a fallation in trees is actually more complicated than the case of n equals 3. Because in the case of n equals 3 since the dimension of X is equal to the dimension of the building we're not going to end up gluing together infinitely many pieces. If we try to do this for the fallation for a tree we might already get into trouble because this gluing relation could sort of glue together infinitely many things. If we take a irrational slope fallation on a torus and we try to do something like this we're going to end up gluing together infinitely many pieces. So in the case of a fallation you need some condition that says that the leaves don't sort of loop back arbitrarily close to themselves. In this two-dimensional case just looking at things geometrically you can just sort of glue together the pieces pretty calmly you might say. Now the only problem which is left and now I don't have time to discuss but now the basic problem is that f0 is not negatively curved. That's where the you might say some kind of higher algebra comes into play. So let me just explain why f0 would not be negatively curved. So there's a negative curvature condition this is seen if we look at points of our construction then there's a notion of local spherical construction which is a graph. And inside the graph if you have a hexagon in the graph that corresponds to something flat. It's kind of the local erase this. The graph will have vertices for each edge coming out of the point and edges for each two-cell. When you have a hexagon that's something flat you have say an octagon then that's going to be negatively curved. If we have something of a loop of length 4 you might have something like this. When we do this and generally this will happen all over the place when we start gluing things together according to gluing by little open sets of x of x tilde you might say pretty much anything can happen in particular a picture like this will happen so two parallelograms glued together along two edges. At this point at this point the graph looks like this the graph has only four edges and that's a positively curved point. You just geometrically can see it's a positively curved point.  If you open it you only get two-thirds of the circle. So now the problem to define a pre-building. It's like to be negatively curved. That's kind of the essential thing which is halfway between the notion of a construction and the notion of a building is to ask for some kind of negative curvature and so the basic problem I'll just explain the problem here without explaining the solution the basic problem here is that when we have four-fold vertex like that well it's clear what we want to do we want to fold together two of the pieces so we're going to have to be gluing together some stuff and the difficulty is that we don't know which way to glue together. It's like this toy of children. You can glue together like that or you can glue together like this. So some additional algebraic data is needed to determine at each of these vertices which direction to choose. So there's a procedure of collapsing together positively curved vertices so you'd like to end up collapsing together these two parallelograms. There's a procedure of collapsing together positively curved vertices but you need additional information you need some information of marking of the whole picture telling you which direction you should glue at each point and that's the information which is going to come from the original Riemann surface and so on and so that's what we explain in our paper at least we don't actually have a it's not a theorem it's sort of a program of how you should be able to do this as you sort of follow through this procedure so we should think of this as sort of an algebraic procedure of forming a quotient of this construction according to some additional information just from the Higgs field or more than that? Well the map comes from the Higgs field and then we're using the geometry of the map basically but the data that you need to do is glue in choice comes from the Higgs field? Basically, yeah, yeah essentially I mean if we had a if the front parallelogram came from a piece of the Riemann surface and the back parallelogram came from a different piece of the Riemann surface for some WKB we know that we're not supposed to fold the Riemann surface itself so that tells us we're supposed to squish it like that we're not supposed to fold along this line but the problem is that once you start folding then you get you get edges which are priori don't necessarily come from come from pieces of the Riemann surface that's actually where the Gaillot-Mornitzky spectral networks come into play but I'll leave it at that You said at the beginning of your talk you said that there was something about the small object argument? Yeah, this is what I'm trying to say actually because you'd like to, I mean the original hope was just some kind of general procedure like the small object argument was going to allow us to map X tilde to a negatively curved space but it turns out that the small object argument needs you need to sort of control it as you move along in some way because you need to control which direction you collapse at each point so there's some sort of control of the argument that needs to be done as you proceed the very first idea I would like to say by a small object argument we sort of take the universal negatively curved building negatively curved construction which is a pre-building with a map from X tilde mapping to it with that given differential the point is that that universal guide doesn't actually exist a priori and in exactly the cases where there are spectral network where there's BPS states in the spectral network you can see that there there might actually be two possible choices now the point is that with a generic generosity condition we're hoping to prove that that doesn't happen basically so it's kind of small object argument but with piloting along the way so you need to sort of maintain the data that tells you at each step what you need to do sorry I wanted to ask the category of points of the topos you have introduced that's a good question what's the category of points of the topos there might only be one which would be the point P possibly only one point I'm not sure maybe like germs of enclosures at the point P probably maybe there's the point P there would be a point which is a germ of an edge and a point which is a germ of a triangle so maybe there's three points possibly but I don't know so you have the defining as far as I understand the defining of the topology it's defined by finite cover covering families and the site in question does it have fiber products or not it does the site have fiber products I think the site has fiber products you can intersect the enclosures one should be careful that products rather than fiber products don't have a good property product of construction so anyway there is this notion of a coherent topology the 5x5 is finite with the topology covered families so my question during the talk was whether your in particular whether your topology is a case of this kind of site or does it give this kind of topo so this it was not served to no I don't know maybe is it quasi-comfort or you don't I don't know you know it's a very simple it's a very simple minded you might say example so you take your defining object of those enclosures and the maps are given by things in their find variable sending one to another so okay so you maybe it's locally of this so is it really the fiber product of two the finitely related guidance are closed under operations like fiber I think so yeah I think so yeah in particular the fiber product the basic guys are finitely general okay the fiber products of basic of enclosures are finitely related that's true this starts to look right I mean I don't see any reason why that would not be the case anyway okay so it seems that there is no final generating family for the world in terms of the world you could have larger and larger if you have something smaller you can also cover any enclosure by copies of yeah but I think probably the problem is the smaller and smaller ones you need sort of arbitrarily small enclosures you don't need arbitrarily large enclosures but you need arbitrarily small enclosures in fact you need infinitely many because if you've fixed some countable collection then you're not going to get all possible edge lengths that way although I guess you can cover I just need that there is a generating family with fiber this is finite limit so you said you have fiber product the product in the topos of two so the product in the topos of two enclosures is not finitely no the product of two is not finitely generated no the product in the topos the product of two enclosures is not finitely generated so this means it is not Cartesian it's not a coherent topos because in a coherent topos whatever comes from the site is a coherent object and then the category of coherent object is closed under finite limits yeah so that's probably not true because the point is that we're looking only at two dimensional objects and if you tried to take the product of two different two dimensional objects it would sort of be a four dimensional object but it's not that's not going to exist I mean the product of the sheaves obviously exists as a sheaf it just doesn't have very good property now but the product looks more like an intersection well the fiber product a fiber product actually works pretty well but a product but not a fiber product yeah yeah among other things one should be careful that the point p is not at all the same as the empty product the empty product star the constant sheaf with values equal to one point is not a good object it's not finitely related for example so it doesn't have a terminal object that's the only difference well there is a terminal object in the turbos but it's not a construction otherwise it has a fiber product yeah okay so maybe so there's a also a locally queried and an algebraic yeah it's locally queried so much


My mother she after six months of me being around her she said to me Elena I want to be a Muslim and she started crying. She said you you're just an amazing person and I feel like I want to be you know part of this and so For me that was everything she she ended up taking her shahada and After she took her shahada my sister did and then my other two brothers did and Alhamdulillah, you know 25 years later my family became Muslim and So Another another story I want to go into is the fact that my brother when he went to umrah. He made two du'as one of those du'as was That his family become Muslim His second one was at the time that he had taken a shahada He was married and his wife decided to leave him She did not want to be with a Muslim and they had three children at the time which you know to him It was very heartbreaking He had to decide either I'm gonna save myself or continue to be with my family And he said what good am I gonna be if I'm gonna stay with my family if I'm not good with God And so he decided to you know to take a shahada and and go that route and so Subhanallah, you know after we all became Muslim His wife ended up getting married to a Palestinian and his kids were raised in Islam So Allah, but you know so all of his du'as were were answered to him So the power of the walk and I always say just pray to him. He's there waiting for us We leave him. He never leaves us. You know, he's waiting sitting there waiting for us to pray to him so You know, then I ended up saying okay now I you know, I have my family But how do I enter the community space? Right, so I think this is very challenging as well But also what I got out of it was the fact that we always have a perception of us not being accepted Right, we feel like automatically we're the outsiders But realistically we're really not because the shahada is so powerful And what we felt to realize is that we just gained billions of brothers and sisters Like anywhere you go in the world if you see my sisters in Islam if you see a hijabi, you're like, okay I'm good, you know This is now just normal to us. And so I Had to figure out how to get connected to different types of community and so I just Organically walked up to everyone. So I'm on a come my name is Elena And I am Latina and that's what I started to do in the community I would go up to people and I would shake their hand and that was like me breaking that barrier of feeling like I'm an outsider and so sometimes and I always say this ask Questions because when you assume things they're not actually what it is and so One of my main focuses was okay. I'm gonna try to just be myself Because Islam is not really trying to change who you are. It's trying to enhance you and It's trying to bring you on the right path This is all we're doing some people say that you know Islam is it's so hard and it's really not a law gave us the tools to make things easier for us And so Alhamdulillah, you know by me reminding those reminding myself of those things and actually being Educated in in Islam too. So that was very important for me. So through those efforts. I ended up, you know Getting married by the way, my husband is sitting up here. My shalom. He's Palestinian And and I was able to adhere to different culture, right? So I'm a Latina. I like Spanish food I love to be around family and friends and so I'm getting married into a Palestinian household They like food too, but you know, I like the sazon the sofrito. I like to put a little Spanish stuff in the boon So I would go back and forth with my mother-in-law and she would make the Arabic food And I would throw in my Spanish seasoning, you know So that was like a good little, you know, that was her, you know, welcoming me me welcoming her, you know And it was just an amazing, you know connection, but again, that doesn't happen all the time I was fortunate enough to be married to someone who was Open-minded religious and he saw me as a Muslim, you know And and so when you connect with people you look at them as just a Muslim We are brothers and sisters Alhamdulillah