Hi, everybody. I have a delay here on my end. I don't know what's going on there Hello, hello Hello Welcome back to the drama. Oh I love you too. Hi John. Hi Ashley Hi, Kimberly. Hi Christy You know, I hope this reading is about me Never fail too late. Amen Hello to the mod squad. I just give you a second give you guys a second to pop in here. We are live Here on my channel. Welcome to the house of Virgo Virgos only Virgo sun moon rising or Venus and as usual some of the messages may or may not relate Not ready Resonate so take what fits as usual leave the rest and also you guys are just a quick announcement before we start your reading I have a February personal phone call Reading discount on my channel. I'm not on my channel on my website moon pie tarot calm Which moon pie tarot is my other channel if you're new Which I do all zodiac readings But if you want to get a personal reading, it's more than half off So do go to my website the link is in the description box below the video and check it out You can also get my twin flame e-book You can have that sent to you for $11 and 11 cents 11 signs that you're dealing with a twin flame and Don't forget to join the channel for Sunday live streams Where you can ask unlimited questions and get many readings with me and be a part of my Facebook group All right you guys What an intro so are you ready me ready to get started? I hope it's bright enough that you guys can see me Or see The cards, let's see You should be okay All right, let's get started. Let's get started What are Virgo's messages? All right, Virgo, let's see what this drama is starting off here. Oh Look you have the hammer again. I feel like you always get the hammer Virgo. You're always working.  This is good You're being very persistent which is excellent. That's that's a good trait Virgo has Let's see what else Okay talking hmm some of you might be talking to somebody at this time could be somebody new You might be in talks about something or maybe you've met someone you guys are just talking right now Let me see somebody's definitely interested in you and they want to talk to you More they want to keep talking to you Or somebody wants to talk to you. Let's see. There's also an energy like somebody's waiting to hear from you Virgo Waiting to hear a message from you All right, let's see. Don't worry the table will get brighter as I pull brighter cards here Their weight somebody's waiting to hear from you, but also You could be receiving a message in the month of February a text a call or an email I feel like somebody is kind of orbiting you at this time Or watching you or You know, they're really interested I would just keep an eye out for your DMs if you're on social media or if you get some strength some of you are getting Really strange phone calls from numbers.  You're just leaving these calls or just making these phone calls Um, you could be talking online to someone. Okay, you also have not enough Frustrated in a relationship Lack of confidence self-sabotage fear ego issues and jealousy. Hmm. Somebody's not feeling real good Virgo This could be you you could be feeling You know like you're not enough or that you won't ever meet somebody you might just keep things Real light with someone if there's somebody new Um, you might still be in a healing Some of you are still in a healing energy Where you're just kind of like, oh, I don't know Maybe you feel like you're not good enough for somebody like this could be reversed as well Actually, you know Virgo, I I have to tell you There is somebody who sabotaged a relationship Who really wants to talk with you again, although I Feel like this person is waiting to hear from you first because they don't feel worthy of your time They don't feel worthy Like that you would even talk to them or that you would even give them the time of day That's just maybe a side message for somebody. So like I said, the energies could be reversed But let's see what else going on here I'm really I'm really feeling the energies of these cards mask Okay, somebody's not showing their true feelings. They're hiding Pretending hmm someone's hiding. Yeah, all right.  Not like a major facade. You just might not be Really like ready to put yourself out there fully Just yet, which is fine, but I also feel like this is somebody else's in the same energy Okay, so somebody else is not really feeling like They feel like they have to hide it's really strange. I don't know if this is like a repeat situation or somebody from that you were dealing with or that you're currently dealing with But the whole energy of like really wanting to talk to you and communicate with you Text or call or just send you an email, you know But they don't feel but somebody doesn't feel worthy of it and so they kind of are fronten putting on a mask To act as if everything's okay if they you know, if you get a message from somebody, you know, everything's okay life has been great But it's not true this whoever this person is Just they really I don't know if they have you on a pedestal or if they see you in a particular light you know where Like they have to front it feels like a very insecure energy like somebody's very insecure About themselves when When they think of you or if they talk to you, all right, let's take a look and see what the other messages are here I Hope the camera is not blurry, but it is a little dark and I think it's because I have an on 4k With like 60 frames per second For some reason it gets really dark and I can't make it any brighter. I'm sorry Bear with me. Maybe I can make a brighter with a filter. Hold on just a second. I don't know That help. That's not really that bright All these technical issues that might be a little better. Hopefully that's Helpful. All right, let's get on. Let's get on with us here. All right, what else? All right, there's a new love start happening here you guys so There's Now I know, you know Virgo, this could be a this could be a new love start with whoever it is whoever this person is that's Doesn't feel worthy of talking to you They have like fear a lack of confidence in themselves and they're wearing a mask They're so intent. I feel like somebody really is gonna be tried try to be very persistent You know, they will wait to see if you reach out But if you don't this person is going to there's gonna be a message from them. I just feel like I Just feel like this strong Feeling that they want to interact with you in some way and have like a new love thing here with you or a new love beginning Look at this I this reading is for this person 100% They have a strength card here. They're trying to get up their courage Trying to get up their courage to talk to you who is this we're gonna find out we're gonna find out Alex it's funny It could be a Leo for some of you, but this is like seriously Feeling inspired in love to talk to you. There's something you're doing Virgo that this person is just they have like this really empty space within them and Talking to you will soothe that for them just Anything it doesn't even matter in their mind what you what you both talk about like To talk about anything Just to have some type of connection Okay To you loving older female, okay male or female. This is um a King or queen of cups Cancer Scorpio Pisces energy or somebody who comes in with this very emotional watery energy someone who it's just Sometimes the king or the queen of cups, you know, they're not usually someone who comes in with They're not big communicators. They vibe Instead, I don't know if you understand that but water water signs aren't Typically known as kings or queens to be people who can sit down and have long drawn out deep Emotional conversations instead they vibe more you can feel the vibe the emotional vibe from this person by The breath sounds you can you can see it in their actions That's how water. You know water is water water doesn't communicate water soothes It refreshes it gives a sense of um It's just it just embodies. It just embodies and water can crash Or it can flow be water my friend So let's see what else is going on here because I'm gonna get some clarifying cards. Okay Wow, so Taurus energy here. I feel like somebody here it really That they're ready to commit somebody wants a committed relationship with you Okay, let me see so what I'm meaning by The king or queen of cups is this person's really not going to communicate It doesn't matter what sign they are there. They're not they want to talk to you But they're not going to talk about emotions, but they are going to vibe them out So you when you're in front of them, you'll feel You'll feel what they're trying to express. Okay All right, let me take a look here. Let's look at this new love start and see what this message is here Okay, so four cups energy. Yeah, this is going to be a surprise for you Virgo this person coming in that you're currently talking to where Where this person is just very low in the confidence area, but they're trying to get up the courage I feel like they're going to make some kind of offer or I want to say propose maybe a date or Offer something to you And I feel like it's going to be a shock to you the way it comes across the way they do it and Honestly, they don't expect you to take the love offer. Even though maybe some of you might Do it you might take it this person actually they're their confidence is so low That they don't expect you to take it and they're going to keep trying Okay, over and over they may have tried in the past if this is a past person and you may have rejected the love offer in The past for some reason. I'm not really sure but I feel They're going to keep trying, but I don't know it just gives me a sense like they don't want to give up They're getting up the courage To pursue you they want to pursue you because they want to commit it this person wants a committed relationship with you Let me say what is why why do they need this strength? What what is this courage what is good? Why does this person not feel like they're worthy? Why are they lacking in confidence? Okay, they just said They just said that this person They've been working out really hard like strength training or Doing something in the gym. They want to impress you They want to be very sexy and attractive for you Okay, so the two of cups is here You know, there's something that this person recognizes or recognized in your relationship That your kindred souls They know it This person let me ask I want to ask why they feel Because I do feel like the courage that they're getting up here is to ask to meet up with you They want to talk to you like face-to-face They want to see you, you know There's you'll get some type of like text or call or some type of communication from this person. It'll be kind of like, you know Current events type of stuff, but their intentions here Is that they want to meet up with you they want to see you face-to-face? Like have coffee or sit down for dinner or just sit across from each other to talk to share To see if you guys can get a mutual understanding or be on the same page Okay It's crazy I'm really picking up strong Leo energy for somebody. Maybe there's Leo in their chart Maybe you have Leo in your chart. Why are they not enough? What's oh? Okay, King of Cups is showing up now. That's twice.  They don't they don't wear their heart on their sleeve they kind of They withhold they could be secretive or they just hold back sharing Okay, I feel like this person is gonna burst Feel like they're about to burst and they got to wear this mask And the reason why they wear a mask is Because if they were to take that mask off this person feels like you would look at them and think that there was something wrong with them In other words, like that they're too emotional This person has a fear that you will be view them as being extremely insecure Or that they they could be they don't want you to think that they're jealous or possessive That kind of energy which with you I feel like that's really the truth about the situation They don't want you to be with anybody else But they they front they they do this self-discipline thing Where they don't want you to know that like if they let loose They know that you'll run away and they don't want you to run away It's crazy. I feel like this person Stresses themselves out so much. They put so much on their on their plate They work so hard to keep this mask, but if you know this person Virgo, I I know you Virgo And I know you see right through it And you see how hard they're maintaining this mask or you may see this About them if this is somebody new, you know when a new love start coming in, you know I just feel like they're so like really gonna try to work for your love with that hammer I try to have some type of like connection here Crazy. Let me see Okay Yeah, the reason why this person and I feel like we're going into a deep psychological read But it is what it is the reason why this person is so has such in security is that they didn't receive the Emotional nurturing that they needed growing up from parents or whatever everything was about work and education With the three of pentacles here, you know and everything What they were taught was you got to work. You got to work. You got to work I don't even know if this person's ever been in love before this feels a little like yesterday's reading But the energy here is you got to work. You got to work. You got to get your education That's the most important. Love is not the most important thing and I feel like somewhere Along the line this person fell head over heels in love with you or will be falling Head over heels in love with you. Okay, and They don't know how to just relax and let their Emotions flow. So they're kind of like um, you know, a boiling pot of water with a lid on it And they don't they have a hard time letting out. Okay, they just said letting out steam So I feel like this person Works out or they go to the gym or they run or they do something athletic to let out the steam a lot of pent-up energy Crazy All right, loving older female. Let's we're taking a look at this King of Cups again Okay, so the death card so some of you could be connecting with the Scorpio with the death card here um This person may have been involved with somebody else and that's over that whatever it is There might have been a death in their family It could have been a parent. It could have been a spouse or an ex or something along those lines You may find out going forward, but this major transformation this person is going through a major transformation Now why? Well, it feels like because the Hierophon is here it feels to me like this person is understanding It's not just about Committing yourself to someone, but it's about committing to the relationship Which is a completely different ball game. Do you know what I mean?  We're committing to getting this house built And that kind of takes the pressure off and and the love begins to grow because we're working on something together We have a goal. We have a purpose. I think this person never really understood that and I feel like They viewed committing to another person as serving someone and felt like they could never measure up because they don't have the skills They didn't know how because everything in their life was about work or was about Education making all that money being in a certain position in life So but there's a lot of change and transformation happening in this person's life At this time, let me take a look. I want to see what else is going on here Yeah, oh my gosh The eight of ones there's gonna be a lot of communication about this person Wants to see you so bad.  This is cupid's arrows You could get some messages from this person. I feel like there's gonna be a surprise surprise communication You could get some I Just saw little children exchanging Valentine's cards in school It was something like that this person has a very immature energy about them in relations Emotional relations like I feel like maybe in other areas of the life They're very mature and strong and competent, but it feels like when it comes to romance They don't know what to do and that's why I said the kind of like They try to maintain this level of Reserve when it comes to romantic relationships And I think if you don't already know that you're gonna see that But once they let the lid off this boiling water the steam the steam that's in them It's just gonna blow the top off and I feel like this person is just gonna throw themselves out Throw themselves out at you Just non-stop tell you how passionate they are for you how much they care about you They're not gonna be able to hold themselves back. I feel like they can't they can't live under this mask anymore So why is the hierophant here? Tell me about the hierophant. Oh my god The lovers. I'm not even kidding.  Keep it moving Singles of Pringle readings. The energy has shifted so much in the past month or so This is Gemini energy here. Somebody could be on the cusp Taurus Gemini The end of the end of May Into June but man this person I mean They want to marry you. They want to like have this partnership this deep love with you. They're already in love with you I don't know exactly who I don't have any cards that represent the past So for some of you, this could just be someone you're talking to At this time Okay, who comes across in the energies that I just described Let me just take a look at the lovers Oh my gosh, ace of wands. Yeah Stimulating they want growth They're inspired For some of you, um Okay, I'm not gonna say that I just can't All right, I'm gonna say it. This person is so in love with you that you know They have five finger relations They think about you I don't really know what another word is to call that or what the other phrase is for that But I just feel like the it just it's it's crazy the way I feel about this. It's really crazy Now also some of you if this is a past relationship Um, I do feel like there's this thing where a lot of you are I don't know if I want to take this situation take this person back You know, some of you like I said are still working on the self. Some of you are still healing um You know, and I feel a little bit of the energy from yesterday and so But I don't know it feels like the way they come in this person just surprises you The way they come in where it's like You don't expect this.  Is this something i'm ready to get into? Should I go back? You know, uh, should I keep moving forward? And finish my healing journey like I feel like it's a big surprise Really You know what they just said pull a card for the two of cups here What is this the strength to come together the strength to connect with you to meet up with you the courage? It's really courage This could be I just heard somebody this is your fitness trainer Do you have a fitness trainer or someone who's training you?   I want to pull another card Okay, now you have the queen of swords. This is you Virgo. You represent the queen of swords Virgo, I feel like you're ready for a fight I don't know. I I feel like you're gonna some of you are going to give some absolute truth To somebody. What are you going to say? Let me see you're going to be totally honest with this person Hmm Okay, this is something to do with travel or making plans or Asking like what are your intentions and what direction are you trying to go here? and I feel like this person is going to also ask to um If they can Drive to see you or travel somewhere to see you.  Oh, no, they're gonna ask you for a ride somewhere That's how it's gonna start Ask you if you can give him a ride somewhere. I don't know if you're getting involved with the physician And they don't have a car. I don't know what's the deal Are some of you're gonna say well, do you have a car? Do you even drive? Like what do you want to pick me up and like put me on the back of your freaking bicycle? Like what the hell? I feel like It's so weird with the chariot. That's cancer energy there. Okay Hmm Okay, also I feel like this person So yeah, they're gonna ask to meet up or connect with you But they're afraid that you might say I can't I'm busy I'm working. I can't but they're gonna like I said, they're gonna be persistent. They're gonna keep trying Let me see here. Why is this four of cups?  You see that ghost? I know it's a little blurry. Sorry Yeah, they're looking for you. They're looking to see where you are. They're gonna keep giving their cup They're gonna keep trying this crazy This MFR is crazy I feel like a lot of you are getting this surprise Love communication message from someone's coming out of left field totally unexpected It's not going to be unexpected because I'm telling you now But it's the person it comes through from why can't I talk it's going to be a shocker You're not going to expect this to come from whoever this person is All right, let me get some Let me get some extra messages here to see what's going on Gosh page of cups And the three of cups. Oh this person Oh, they want to date you absolutely this person wants to be with you You're getting the love messages for sure They want to indulge They want to have like some drinking. They want to talk to you. They want to gossip about stuff They want to just anything to be in your presence or in your energy I feel like you are aura Virgo is that you lull this person to sleep. Remember how I used to say Be careful. You don't get lulled to sleep by some charmer.   You know one of those air Things that when you pass by like a store outside and it's rolling around in the wind That's what you do to this person. I don't know what those things are called, but Okay, they are stalking you they are watching you Like nobody's business. Oh my gosh the two of wands Now the king of cups again on the bottom of the deck Oh my gosh, you see remember how I said to you that this king of cups doesn't really express their love Um, they vibe their emotions out. Look at how the water. It's like vibe The water signs are very vibrational Okay, um, maybe they have water in venus or in the moon or something Or they are a water sign, but I just feel like this person is really in this position Of making plans. They're they're making plans They want to travel to you or have you traveled to them or go somewhere together I mean, they're just watching at your every move everything you do Whether it's you know there where you are where you live or it's online somehow this person is seeing you And it's like I feel like they I feel like they just I don't know. I can't it's almost like I can't I feel like them like they cannot Put it into words How they feel the most that they really can arrive at is just Sending sweet messages to you or talking about anything very difficult for them to share their deepest emotions Very difficult I feel like they just want to be in your presence really At this point they will settle for that if that's the best that they can get from you or just to go Be somewhere with you You know, I mean I don't know if it's it it might be a little infatuation to some degree Look, there's you again the queen of swords showing up Virgo, you're really clear about where you are what you're doing in your life What your plans are what you want you're being truthful and honest with yourself Truthful and honest With other people around you.  Are you guys in separation? If it's a past person or you just haven't connected with them or you're just simply talking and nothing's come out of it yet Okay, we have Libran energy Aquarius as well You're just all about Doing the right thing, you know I just heard somebody say, oh, okay, you want to be with me? I'm going to need that in writing If this is a past person coming in to Because I do feel there's a bit of infatuation here. I really do And I feel like this person is watching to see if you're single Um, or if you're talking even even if you are and you're you're just communicating with others Um They're thinking that you're like you have something going on with somebody else Um, and that's kind of I don't know I just want to say turn them on which is strange Not usually like a sexual way, but it's inspiring to this person for some reason.  You're mental. You're emotional. You're spiritual. You're bringing everything in You're making your whole self cohesive You know everything is just or you're working on that and getting into this Beautiful start beautiful place You know, some of you could be interested in somebody else And for some you could have someone here who another person watching you and wanting You know to talk to you I feel like they feel Somebody feels threatened that You're done Or that you're okay and that you're no longer I feel like somebody wants you to be restless about them as well But you kind of I just feel like yeah, I'm good You're a piece You're not stressing anything with anybody new or old This is so strange. Let me get some love messages of love here and see what's going on Oh We have a jumper Time alone or in nature will help you recharge. So some of you are have retreated from From past you're kind of in transition. You've retreated from the past And you're also not pursuing anything just yet.  You're seeing You know, you're looking at your other options and that kind of thing Let's see Yeah Listen, this is a card of unavailability Um, some of you are just simply unavailable right now For anything deep with a past or a new Okay So I feel like some of you are kind of like, uh, you know, I'm not really focused I'm not looking for anything serious at this moment Right now, maybe later. I'm I'm just retreating. I'm doing my own thing Um And somebody else will be unavailable to give you everything you deserve because you're not in a position of receiving Just yet, okay You're not in that Position of receiving just yet. You're working on self and focusing on self. Okay And trying to forgive You're trying to forgive. I feel like you're cleaning up You're you know, you got your you got the eye wash and you're cleaning out all that junk in your eyes, you know, your third eye For giving yourself and another so that you can move forward, you know, and when and when you get to that place Then you'll feel like when you're not triggered anymore, then maybe you'll address the past thing or somebody new But it doesn't mean like just because you're healing and you're working on yourself doesn't mean You know Other people are in the same place as you Okay, so what I mean is you have if you're getting yourself in a better better situated in life Other people past new They don't know what's going on and they may be coming in the same way Or somebody new May not understand. I don't really feel like Virgo's much of a talker as far as your private You know, you're a lot like Scorpio in that way You're really the only two signs that keep that privacy You know under wraps keep things under wraps for yourselves But I feel like you're just not making yourself available to anybody and that Probably is what is very attractive about you To other people because you are focusing on What's best for you Virgo, which is a really good place?  I feel like you are talking to others and there may be people, you know Someone else coming in who's really interested in you and wants to I do see that maybe around valentine's day or sometime in This month wants to connect with you and go out and do things, but I kind of feel like you're like Like I said You're not going to tell them. Oh, I'm trying to forgive somebody.  I think you're just going to do friendship for a little while You know, I mean listen, it's not to say that If if something develops With someone that you decide that you just want to try friendship first That you won't be open to that, but I don't know that you are like as I'm doing this reading Pushing it. That's all I that's really what I feel But I do feel like you you are Okay, open to more than friendship Okay, which I do see some type of friendship leading to more here As you forgive a past relationship So, you know Virgo You definitely have somebody coming in here um Who's really going to be persistent and surprise you In a way that they never have before it kind of feels to me if you're in separation from somebody Virgo um This person is they got nothing left and they have to Do something completely different just to be connected to you and um I'm not I'm not overly sure or not if this person is going to still be wearing a mask And I think you got to be careful with that um Because if somebody comes in and does something different that you've never that they've never done before It doesn't necessarily mean that they've changed. It can just mean that they're using a different tactic So I trust you Virgo that when that happens um that you're going to Uh just be discerning about that. That's that's really what I feel that message is All right, I want to get some romance angels Okay, yeah, look I was just talking about trust here you go trust The situation is calling for you to have faith But you have to have faith in yourself and trust yourself With wherever you are right now in your life with you know I feel like there's somebody here that really does love you and and they they are going to prove themselves to you But I feel like you got to be convinced within your heart by their actions not by their words But their actions day to day and if their patterns have changed Okay, there's that chemistry again strong magnetic attraction and not just for somebody coming and trying to you know Whether it's past or new You know Virgo, I don't think you're playing ball the same way you used to I don't think you're playing ball the same way you've picked up some new skills Virgo, you're playing the game different You're like the tom brady of this entire league now like you're you're not throwing any punches here You're calculating you're being strategic With what's you're stopping and you're saying wait, is this what's best for me? You're not in a position here in february where you're giving Because you're thinking it's what's best for them now. You're like wait a minute Is this what's best for me? Let me just put that little heart of mine over here in a side dish and let me just ask myself Is this person good for me? Is this what's best for me old or new?  So playfulness to recapture romance allow your inner youthful spirit of fun to shine and that's what it's all about right now You Virgo Getting that playful energy.   I'm tired of thinking about it all the time. I'm tired of stressing about it Who's out to play who wants to go build a snowman? Who wants to go swing on the swings? Who wants to go down to the beach? All right, who wants to go play who wants to go dance? That's what Virgo wants That's what Virgo's doing here You know what I mean? So it's great to have people who are interested in you and it's great to have maybe you got a A reconciliation situation happening with a past person here. Whatever it is Virgo, I feel like You're looking at them on you're like you over there you over there We're all just going to be friends right now because I got stuff going on for myself. I'm doing me And I will still talk to you and I'll still talk to you and I'll still talk to you over there But you're just being super selfish and it's it's lovely Not mean but just like wait I gotta take care of boo.  That's what's going on and some of you are like, okay Great, right when I have somebody new I'm talking to here comes the past person And I'm not saying that you're gonna turn the person down.  Well, what do you bring into the table?  What else do you bring into the table? Okay Let's see what let's get some of your uh your dates and your spirit messages here Ghosting is mean sunshine. You're right But sometimes you have to walk away and not everybody deserves an explanation Especially if you told somebody time and time again, and they didn't hear you sometimes you just got to walk And not worry about how other people feel you got to worry about how you feel All right I'm trying to get a little shuffle here and look at the chat And I hope we can get 20 more people in here and hit up 600 people in the chat That would be amazing All right All right, um again with the 28th february 28th again letter h I said yesterday In the reading that february 28th was going to be a significant day for somebody Okay And I still feel that's that their message is saying that's still happening here Um, and I feel like it's something to do with an x And that's all I'm going to say about that. Um, we have the letters h and g Okay Somebody's going to get pink and purple roses or give pink and purple roses to somebody Or work in a garden Or or you'll see them Um Somebody is 27. I just heard the name karen Karen Okay And then I just heard niagra falls Niagra falls or waterfalls Hmm So they just gave me narnia. Do you remember that movie narnia Narnia Oh and somebody calls somebody cutie always says hey cutie Or says hey cutie or somebody will say that Um to you there could be like a text or somebody calls or says Hey cutie And I'm just seeing um Oh weird.  Hold on you guys there. There's a lot of talking Jennifer Somebody Jennifer somebody born in the year of the dragon 1976 We get dragons on my channel all the time, don't we? always dragons Jennifer jenny jemmy Or somebody's name might be gem gem j j e m I'm also getting the number 20 The number 20 Um walking down the street throwing money in a tin cup. They just said throwing money in a tin cup Which is interesting um Throwing money in a tin cup And then I just saw a black panther That is so beautiful a black panther Panthers the panther black panther And there's a p letter p Okay 15 15 15 15 or the 15th Or it's September 15th Okay I keep getting that name gem me J e j e m gem me And I'm getting ch i also ch i And joe joe joseph joe Joanne Now, okay, they're just telling me something very strange in four months Or on the fourth month, which would be april. It's the fourth month Somebody's going to be going to a wedding or we'll be getting married Or we'll be attending a wedding and either be their own wedding or it will be somebody else's Um, it's a family thing. There'll be family members. There's a blue house. I'm seeing a blue house And I'm also picking up a birthday in april Okay Somebody's 40 48 48 years old 48 and likes to jog somebody jogs a lot like goes out running Jogs Okay, let's get into your charms and see where your charms have Okay, what are your charms? Oh, you have an elephant beautiful Beautiful, it's a be well, it's a small elephant. It might be like a baby elephant Hmm, I don't even know what that is. Hold on a minute. Sometimes these are I'm going blind I have they all right, so I'm not even sure if that's what I'm not sure what this I just saw a clattering a clattering That's what I'm seeing with that a clatter. Do you know what a clattering is?  I just hear baby beluga or is it like a beluga whale? Let me see what else It's like a baby whale baby baby beluga And a blue star. Oh Whales and stars. I'm putting this one back because I'm not feeling that whales and stars Blue stars somebody has maybe have a kid or a grandchild Where there's like those glow-in-the-dark stars on the walls or somewhere our baby's room There's definitely going to be Two hearts two of hearts two hearts that beat as one Okay, that's an old song Two hearts two hearts beating is one Two hearts coming together Holy holy wait, what's going on my music died Sorry Okay, there's definitely going to be two hearts coming together. That's what I was trying to say Um, and I feel like valentine's day. I'm hearing uh, well, I'm not hearing I'm seeing two people take their fingers and wrap them together like that their fingers. Did you see what I did? like that You know pinkie pinkie fingers Pinkie finger wrap I don't know if anybody's going to do that if that happens or if you've done that um This is definitely going to be your message Pinkie finger wrap who the heck does that?    So remember I was saying, okay is there I don't even know. I think the games are over, but there was something some american football something about A panthers um And the dolphins football game That's something about I don't even know if they play against each other The the miami dolphins and where are the panthers from? What football team is the panthers any guys in here can tell me? Um Our girls where the where the panthers remember I said the panthers Okay, carolina, that's it. Okay, maybe they do play against each other um Or maybe it's something to do with miami and the carolinus Maybe there's two people Someone lives in You know florida one person lives in the carolinus Maybe that's the the message i'm getting but there's also I said if you're taking a trip I feel like you're gonna see dolphins on your trip or you were just on a trip and there were dolphins I just kind of feel like that energy whales and dolphins So crazy maybe an elephant or two. Maybe not. All right you guys This reading was fun It was interesting to say the least So i'm gonna end here. Thanks everybody for being here Um, I've been reading your messages as much as I can um Hello everyone I was just on a trip to miami. Okay You are so welcome peace and love And christie Thank you supernova you too. Thank you You're welcome. I am Good night christie Good night everybody. Stay happy. Love you too angels k k Okay, you're welcome christina. You're welcome Thank you sunshine. Thanks five ends You're welcome tammy chrysalis D lovely you're so welcome jackie mel Be young you're welcome you guys Um, so yeah, I will see you all hopefully tomorrow, you know, I'm kind of playing it by ear I'm trying to pop on as much as I can every night. Um And if you go over to my other channel moon pytero, I have other the other signs. I think tomorrow Aries will be up at 2 p.m. Eastern standard time and then Wednesday will be torus and then Thursday will be gemini And i'm going to finish out the rest of those readings and start all over again So I will see you guys here tomorrow If not in the chat make sure you join my channel and you can pop in On the live stream every sunday 4 p.m. Eastern standard time To um ask some many questions. I pull cards for you guys. It's part of my uh one of my perks All right. I'm talking too much. Love you. I'll see you all later. Okay. Bye


Okay, welcome everyone to the Pi Day edition of the sugar seminar. We're happy to have a way home. Sue X lower you from Rutgers University way home is a student in Rutgers grab the student in Rutgers. And she's going to tell us about quantum k theory of incidence varieties. Please go ahead. Thank you for the introduction. Thank you for the opportunity to speak and special thanks to Anders who has been very helpful throughout this project. Let me put the slides in the chat. Just in case you want to look at it during the talk. Okay, you should have it now. If you have any questions, please feel free to unmute yourself at any time. Here's the plan for today. First, I will say a little bit about the background and introduce our objects of study. Next, I will state the main geometric result, which I will then use to compute some geometric invariance on the incidence variety, called T. Equivariant k theoretic Gromov written invariance. These invariants are closely related to the equivalent quantum k theory ring of the incidence variety. Knowing these invariance means we know how to multiply in this ring. In particular, I will state some very explicit formulas, namely an equivalent Chevrolet formula and a non-equivariant little wood Richardson rule. Afterwards, I will revisit the geometric result and say a little bit about its proof. In the end, if time permits, I will also state a conjectured Chevrolet formula for the quantum k theory ring of an arbitrary type A flag variety. Here is the setup. Let G be a complex semi-simple linear algebraic group. As usual, we will fix a maximum tourist T inside a borale subgroup B inside a parabolic subgroup P. And we will let X be the flag variety G mod P, which naturally admits a G action in type A. G is just SLCN. P can be taken to be the subgroup of block upper triangular matrices with some fixed block sizes. B can be the subgroup of upper triangular matrices and T can be the diagonal matrices. For this talk, it's fine to just think about type A. We will fix an effective degree D in the second homology group of X. And we will write M D for the cons, cons of each modular space of genus zero three pointed degree D stable maps to X, which is just the compactification. Here, we have the set of maps from P1 to X, such that the push forward of the fundamental class of P1 is equal to D. Here, this compactification means we are allowing for degenerate maps whose source is no longer P1, but a tree of P1 with three mark points. The maps need to satisfy a stability condition that if a component is mapped to a point, then there are at least three special points on the component, including nodes and mark points. The modular space M D comes with three evaluation maps, EV1, EV2, and EV3. In the interior, you're just given by evaluating F at 01 and infinity on P1. Schubert varieties are sub varieties of X that are stable under the action of a certain Borrel subgroup. We will consider different Borrel subgroups because we want the Schubert varieties to be in general position. In particular, we will use lower indices to index Schubert varieties that are stable under the standard Borrel B and upper indices to index Schubert varieties that are stable under the opposite Borrel B minus. If B is the subgroup of upper triangular matrices of SLCN, then B minus is the subgroup of lower triangular matrices. Let me draw a cartoon picture. So in X, we have XU and XV. We will consider the two-point Gromov-Rieten variety M D of XU, XV. It's the sub-variety of M D consisting of maps with the first mark point sent to XU and the second mark point sent to XV. When we take the image of a degree D stable map, we get a degree D stable curve. And if we take the union of all the degree D stable curves, meaning XU and XV, we get the two-point curve neighborhood gamma D of XU, XV. The sub-variety of X given by the image of the two-point Gromov-Rieten variety under XV3. If we do this with just one Schubert variety, we get the degree D curve neighborhood of that Schubert variety. It's not hard to show that this will again be a Schubert variety stable under the action of the same Borrel. Here is everything we need from T equilibrium K theory for this talk. First, let's recall the non-equivariant K theory. So the ordinary K theory of X is the free abelian group generated by isomorphism classes of algebraic vector bundles on X, the equivalent relation given by short exact sequences. Multiplication is simply given by tensor product of vector bundles. In our case, X is a non-singular projective variety, which implies every coherent sheaf on X has a finite resolution by locally free sheafs. We can use such a resolution to define the class of a coherent sheaf as this alternating sum inside the K theory ring of X. And this definition is independent of the choice of the resolution. Pulling back vector bundles along the structure morphism makes the K theory ring of X an algebra over the K theory ring of a point. The structure sheaves of Schubert varieties and opposite Schubert varieties give two basis for the K theory ring of X over the K theory ring of a point, which is of course just a Z. Since T acts on X, it's natural to consider the free abelian group generated by T-equivariant vector bundles on X modulo the equivalence relation given by T-equivariant short exact sequences. Again, we can define multiplication using the tensor product. This gives us the T-equivariant K theory ring of X. There is a notion called a T-equivariant coherent sheaf. I will not give the technical definition. We just need to know two things about them. The first is that they come with finite resolutions by T-equivariant vector bundles. Just like before, we can use such a resolution to define the class of an equivariant coherent sheaf in our equivariant K theory ring. The other thing we need to know about equivariant coherent sheaves is that whenever we have a T-stable sub-variety, its structure sheaf will be T-equivariant. In particular, Schubert varieties and opposite Schubert varieties are both T-stable, so their structure sheaves are examples of T-equivariant coherent sheaves. Just like before, pulling back along the structure morphism makes the T-equivariant K theory ring of X an algebra over the T-equivariant K theory ring of a point. The T-equivariant K theory ring of a point is also known as the representation ring of T because the T-equivariant vector bundle over a point is just a T representation. Since the torus T is commutative, every irreducible representation is one dimensional given by a character epsilon. We will write C epsilon for such a representation and its class lives in the representation ring of T. Just like before, Schubert classes and opposite Schubert classes give two bases for the equivariant K theory ring of X over the equivariant K theory ring of a point. Gromov-Wieten invariants are closely related to three-point Gromov-Wieten varieties. These are sub-varieties of M-D consisting of maps with the markpoints sent to three Schubert varieties stable under different boroughs. Let's assume that these Schubert varieties are in general position. Then the cohomological Gromov-Wieten invariant simply counts the number of points in the Gromov-Wieten variety. If this count is finite, in case the Gromov-Wieten variety has positive dimension, the cohomological invariant is zero. The K-theoretic Gromov-Wieten invariant computes the Schief order characteristic of the structure Schief of the Gromov-Wieten variety. So when the Gromov-Wieten variety is zero dimensional, we recover the cohomological invariant. But the K-theoretic invariant can still be non-zero even when the Gromov-Wieten variety has positive dimension. The K-theoretic invariant can also be computed by pulling back Schubert classes via evaluation maps from the K-theory ring of X to the K-theory ring of M-D, multiplying them and then pushing forward to the K-theory ring of a point, which is Z. Since everything is T-equivariant, we can suit this up to get the T-equivariant version of the K-theoretic Gromov-Wieten invariant, which lives in the equivariant K-theory ring of a point, aka the representation ring of T. To recover the non-equivariant case from the equivariant case, we simply need to set all the equivariant parameters to one. Of course, we are very interested in computing these Gromov-Wieten invariants. But it suffices to compute the Gromov-Wieten invariants defined by Schubert classes because these invariants are linear in each entry and the Schubert classes form a basis for the equivariant K-theory ring. These invariants are relatively well understood when X is co-mini-skew. Co-mini-skew varieties are a nice subclass of flat varieties. We have Picard rank one, and in type A, they are just the familiar grass manians. A result of Boug, Capu, Mihao Chi, and Pohang says that when X is co-mini-skew, the restricted EV3 from a two-point Gromov-Wieten variety to the corresponding two-point curve neighborhood is co-homologically trivial. This means that the push forward of the structure sheaf of the source equals the structure sheaf of the target, and all higher push forwards of the structure sheaf of the source vanish. In K-theory, the push forward of a class is defined as the alternating sum of the classes of higher push forwards. Therefore, when a map is co-homologically trivial, the push forward of the K-theory class of the source is just the K-theory class of the target. As a corollary, we get this nice formula that says equivalent K-theoretic Gromov-Wieten invariants can be computed in the equivalent ordinary K-theory ring of X. Unfortunately, when X is not co-mini-skew, this nice quantum equals classical formula doesn't always hold. Here is a counterexample from a paper by Buch-Presch and Tandakis. In the full-flat variety FL5, there are two rational curves of degree D equals 2332 passing through three general points. This means the Gromov-Wieten invariant associated to three points is equal to two. Now, since a degree D curve meeting two general points can reach a third general point, this two-point curve neighborhood is the entire flat variety, and this K-theory class is one. So the right-hand side is just computing the Schiff-Euler characteristic of the structure Schiff of a point, which is one. Here, the formula fails because the restricted EV3 from the two-point Gromov-Wieten variety to the corresponding two-point curve neighborhood is a two-to-one cover, which is not co-homologically trivial. However, when X is of type A and one of the Schubert varieties is a divisor, we still expect the restricted EV3 to be co-homologically trivial. This is a conjecture of Buch and Michauci. What I did was considering the simplest type A flat variety that is not co-mini-skew, namely the incidence variety. The incidence variety is a special two-step flat variety. It consists of pairs of vector subspaces of CN, U, V such that U sits in V, the dimension of U is one, and the dimension of V is M minus one. Taking out the U gives us a point in the projective space, and taking out the V gives us a point in the dual projective space. This incidence relation translates into this equation where X1 through Xn are the coordinates of CN and Y1 through Yn are the dual coordinates. In the GMOGP description, G is SLCN and P is the subgroup of upper triangular matrices with, sorry, block upper triangular matrices with three blocks sized one M minus two one. Schubert varieties in X stable under some fixed borough are indexed by W upper P. This consists of pairs of unequal integers between one and N. It sits inside the vial group as minimal coset representatives of W mod the vial group of P. So each element in W upper P corresponds to a Schubert variety and an opposite Schubert variety. They are both, they are each given by the vanishing of some coordinates. Containment relationships of these Schubert varieties are governed by the Bruha order on W upper P, which is inherited from the vial group W. For example, the element of one N is the smallest element in W upper P and X lower one N is just a point while X upper one N is the entire X. There are two opposite Schubert divisors, which we denote by D1 and D2. They are cut out by X1 equals zero and Yn equals zero respectively. And their classes generate the P card group. Finally, we will simplify notations for Schubert classes by dropping some square brackets and some letters in this way. Our main geometric result says that the general fiber of this restricted EV3 is rationally connected. You can think of the general fiber as the set of degree D stable maps with the first mark point sent to a Schubert variety. The second mark point sent to an opposite Schubert divisor and a third point sent to some fixed point that is as general as it can be. Using a result of color, this implies that the same map is co homologically trivial. As a corollary, we get the same quantum equals classical formula, except that one of the Schubert classes comes from a divisor. Note that the right hand side is very easy to compute because what is this two point curve neighborhood. Well, when the pairing of the degree D and the divisor DK is positive. Every curve of degree D is guaranteed to meet the divisor DK. But this two point curve neighborhood is just the curve neighborhood of the Schubert variety, which is again a Schubert variety. When the pairing of the degree D and the divisor DK is zero. Every curve of degree D is either disjoint from DK or contained in DK. The two point curve neighborhood is the intersection of the curve neighborhood of the Schubert variety with the divisor DK, which means we need to multiply the corresponding K theory classes. In order to state the final result, I need to introduce a little bit of notation. Recall that W upper P is the set of pairs of unequal integers between one and N, and it is the indexing set for Schubert varieties and Schubert classes. As it turns out, our formulas become much simpler if we index Schubert classes and degrees at the same time. This can be achieved by extending the set W upper P to the set W upper P total, which consists of pairs of integers that are not congruent to each other mod N. Each such pair ij has a unique reduction mod N, i bar j bar, which lives in WP with the property that i bar is congruent to i, j bar is congruent to j. What we're doing here is nothing but a shifted version of taking the remainder. By keeping track of how many copies of N, we need to subtract from i, and how many copies of N we need to add to j to get our reduction mod N. We can also recover a degree, which lives in the second homology group of X, which is Z2 in our case. When we write a Gromov-Wieten invariant, we will suppress the degree by allowing the index of the last Schubert class to vary in WP total. So doing reduction mod N to this index will recover the degree and an actual Schubert class. Again, T is the maximum torus of diagonal matrices inside SLCN, and we will write epsilon i for the character of T that records the i-diagonal entry. Here is what we get for the equivalent Gromov-Wieten invariants if we actually carry out the computation using our quantum equals classical formula. And as a corollary, the associated three-point Gromov-Wieten varieties have arithmetic genus zero, whenever they are non-empty. This can be seen by specializing these Gromov-Wieten invariants to the non-equivarian case, which amounts to setting these equivalent parameters to one. We see immediately that the non-equivarian invariants are either zero or one. And when they are zero, it's not hard to show that the corresponding Gromov-Wieten variety must be empty. Therefore, when the Gromov-Wieten variety is non-empty, the Euler, the Schief Euler characteristic of its structure Schief is one, which is the same thing as saying the variety has arithmetic genus zero. I think this is a good place to take a break. Please let me know if you have any questions. All right, very nice.