I want to share with you some personal observations about somebody I'd been following on Facebook for about a year or not Facebook excuse me YouTube excuse me and I think it's very very relevant to this topic are women happier now or women less happy now in the past and this particular YouTuber had a very controversial page that grew from when I started following them 200,000 followers to a million point four month one point four million followers before he passed away and he was controversial because he basically was advocating that women go back to some sort of traditional way of living particularly with men as a way to gain greater happiness I felt like his message was that women need to lower their expectations and that they must become submissive to be happier and repeat that his his philosophy the way I observed it and this is just my perception of all this his philosophy was that women need to lower their expectations and that they must be submissive to men to actually gain a level of happiness in other words they need to acquiesce to men to acquiesce to the patriarch acquiesce to the masculine be subservient for them to be happier and I'll be candid with you I had a lot of concern about his his rhetoric his style his mannerisms the way he interacted with the women on his page and yet there was some validity to what he shared which I'm going to lean into in a few moments before I do I actually want to read something that I wrote or prepared for this for this video that I want to lean into today actually I took some notes from google so it says a recent group of studies have found that women's happiness levels have been dropping steadily over the last few decades women now report lower happiness levels than men a role reversal from the 1970s the decline in female happiness is most prominent among those over 60 years old gains in women's rights haven't made women happier is what it states so I reflected upon this and and kind of the notion that 50 years ago the white picket fence to children and being a housewife was the ideal but what about those women who were creative what about those women who are explorers what about those women that didn't want to subjugate themselves to men in fact the ideal was a sales job to keep women to keep women submissive in my opinion to allow men to be in control the trade-off was being taken care of but what about the men who stopped loving those women or worse they began cheating on these women being taken care of means dependency and that's a dangerous place to be no matter who you are in the past women had less choice and today a woman has more choice than before so when we think about happiness if women have more choices if we're talking about happiness from the past versus today it's basically in my opinion saying that women who have less choice were happier let's examine that for a moment so let's examine the problem with choice while some feel very lost there are and by the way in this sense of choice there are also some women who have become very entitled and worse they have grand gender or grant they have a grander expectation of what they can attract and they find themselves miserable because they don't have the man they believe they deserve in fact they find themselves miserable because they don't have the man they believe they deserve some women blame men for all their problems which is made made many bitter and jaded instead of seeing the benefits of choice because with choice you are in charge of your destiny not a man because that's not a man's job and this particular youtuber that I was speaking of was selling women on being subservient to find happiness and I'm here to say that is fucking bunk however there is a danger in overvaluing oneself there is a danger of acting entitled there is a danger to believe I say danger and I know that sounds rather ominous you know to say danger and yet our ego can make us believe that we deserve something so grand yet without showing up with that grandness and repeat that we you know and a lot of this rhetoric was centered around the idea of high value man high value woman what is high value I know I've recorded videos on that high value in this narrative spoken by this particular youtuber was the idea of that financial status and status amongst the amongst the community represents high value that's not high value in my opinion high value means your actions match your words you have victor consciousness and not victim consciousness you know how to actively listen when there's a disagreement and listen to the person's point of view and accept the point of view for them for being true for that a high value person in my purview is a person who has empathy and empathy isn't just simply I can feel your feelings empathy means I genuinely care about your feelings and more importantly I care about my own feelings and then ultimately transparency and relationship when you can if it's material to the relationship you speak up that to me is what a high value person is amongst many other things including being able to financially take care of yourself if we're going to create a value system lend that's due value based on character and not the superficial things that this particular youtuber was selling you women on so are women less happier now my feeling is who gives a fuck about the past what matters most is the present today that what matters most is to look inward and say am I happy because the past is prologue repeat that the past is prologue you have to look inward and say am I happy with my life and I'm going to share with you some ideas that may shift this narrative for you because whether you're in a relationship or not happiness isn't derived from the premise of I need you to love me so I can feel good about myself I need you to love me so I can feel good about myself I need you to love me so I can feel good about myself that's a dependent way of approaching relationship and while I'll say going back to the earlier when I made the comment that women in their 60s find themselves less happy let's be honest it's scary being by yourself it's scary to be out in the world by yourself if we don't have the financial resources to support ourselves because unlike 50 100 thousands of years ago we used to live more in a tribe and community type of environment I'm going to repeat that we lived in a tribe environment for 200 000 years we were bonded together not based on financial status per se although there was elements of that what's most important in a tribe environment is that we collectively take care of one another so yes if you're a 60 year old woman by yourself that can be scary especially financially speaking because it used to be provide protect meant you know you know go hunt for the food and bring it to the table and protect against war you know warring clans now it's all on us because we no longer live in that community that village that tribe environment where we collectively can take care of ourselves or at least it's a lot less here in the united states than other parts of the world do you know other parts of the world are probably much happier than those in the united states because they live in a sense of community that here we don't and so yes we are unhappier everybody is unhappier to some degree because we live in a fucking dysfunctional world in here in the united states we have this blue and red and mask and no mask and all this crap to divide people and news doesn't help us social media doesn't help us so it's no wonder we're unhappy because many are dependent on these devices just to connect with another human being isn't that sad so this isn't about women being less happy than the past because it's a human thing that's the big issue not a female thing yes there are women who hate men there are men who hate women i mean hate there's real hate going on and there's real animosity and real judgment and real criticisms that's causing the divide between the genders instead of bringing us closer together in a sense of love because that is what's going to make us happier folks you most most of you know i lost a child my 19 year old son passed away there's a picture of him one of my favorite pictures of him bold out in control of his life and yet in the moment he passed i could have grieved with suffering and yet in his honor i live my life to the fullest i live my life to be happy because that's what he wants for me and there are many people in your life that want that for you as well this is why i wrote my book what the heck is self love anyway now i'm going to do a sales pitch a journey of personal development self-help and spiritual work by the way there's a link below to get my book all the books i recommend under the link in the description jonathan recommends books because i'm here to say happiness is derived from these three places which i'm going to share in a moment now really quickly if you have a question for me write the word question and post the question thereafter or purchase a super sticker super chat all of the funds from the super there's a little dollar sign the chat box all the funds from the super sticker super chat goes to a scholarship fund in the name of my son connor asley who passed away and i donate those monies to places like the hoffman process insight seminars and i donate to those that are seeking help in the personal development arena and you can purchase a super sticker if you're watching or super thanks you're watching the replay and if you're listening to the replay via my podcast just know that you can support me uh through paypal okay so actually before i share the solution to all this i do have a personal share later in this broadcast i will be sharing a bit more about my new relationship i am very happy to announce that i am officially in a relationship with someone we have made that verbal commitment to one another so i'm going to share a little bit of that as well again during the q and a portion and if you have a question write the question or post the question thereafter so what's the solution to happiness when i say the solution what is the invitation well i'm here to say individual empowerment has to be number one on your list not not giving your power away to a man man sadly the dating process and the relationship process sets women up for failure because they give their power away to a man because women tend to be more agreeable than men is one of the reasons why the other aspect or solution is coming back to my book self love because it's not just about being empowered and by the way the best empowerment book i've ever read for a woman is why men love bitches bitch stands for babe in total control of herself yes i spoke to a client today who read this book in one day and she said this is groundbreaking information ladies if you want to be empowered read this book because i don't want you to have to listen to rhetoric that says to you you have to lower your expectations or excuse me your standards and become submissive to find happiness because that's fucking bullshit and self love is about nurturing your soul nurturing your heart this is why i i i i really invite you all to read the book daring greatly by bernay brown how the courage to be vulnerable transforms the way you we live love and parent and lead this is a book to happiness and lastly if you want to feel a sense of happiness buddha said all suffering comes from attachment to outcome and people when we create an attachment to another person not listen we're all going to feel attachment to some way look at i was very attached to my son who passed away i have learned that not being attached to an outcome more importantly understanding that things come and go and so appreciating every moment this is what i do with my oldest son now is i appreciate every moment because it can be gone like that so when we get attached to an outcome when we get attached to a future in any sense we are setting ourselves up for suffering because things can change like that if you want to find happiness this is my recommendation this is my invitation for you all it's not about a man being it's not about being a submissive woman with low standards to find happiness the happiness comes from within you and that's why i couldn't stand his rhetoric yes i do agree that entitlement and ridiculous expectations will cause unhappiness but that's not an outside thing that's an inward thing so start by healing from the inside which will radiate outside and you'll become a magnetic attractor for what you want and that's my invitation for everyone is this sinking in is this resonating please let me know please hit the like button right now please share this video please subscribe if you're brand new to my channel please write a comment below anyway that's my rant and i'm sticking to it all right i think it's time to take questions so again if you have a personal question if you have a question of me uh purchase a super sticker super chat i'd be truly honored again that goes to the Connor asley scholarship fund so um and i want to honor one who already did lisa thank you so much for the super sticker we really appreciate it all right oh hey we have a guy in the house strong and independent don't need no man that's why you're unhappy ladies don't need no man that's why you're unhappy i'm that okay i'm gonna jump in on justin here that's your perception which i understand okay but what my whole beginning's narrative is about we don't need someone to love us to feel good about ourselves it is our it's it's an inner journey to find that place of peace within ourselves so it's not about a man it's not about a woman and it's not judging women folks one thing i didn't like about this youtuber is all he did was judge women i know he did it under the guys is i'm being impartial i'm being impartial i'm being impartial that was fucking bullshit he had an axe to grind in my opinion and he made women out to be bad human beings are hurting they are suffering on the inside in some way shape or form feeling not good enough not lovable and not likeable and so we have a choice we can all come together as a community and support one another starting from within put the oxygen mask on oneself first or we can judge a gender we can judge a community and what fucking benefit does that have justin that's my rant and i genuinely thank you for your five dollars i appreciate it um laura says personal question when the wedding we'll see i feel pretty positive about this one all right if you have a question post a word question or purchase a super sticker super chat and post a question in there and i'm going to do um brenda says it's it is a huge debate this gender war what's the solution the solution is individual empowerment it's not about pointing the finger because there's always three pointing back focus on oneself is the solution don't worry about the outside world start with your own universe and let it radiate outside is my invitation for everybody all right let's see what else we have brenda says we have to be kinder and stop judging so much if we can be intimate with each other exactly k says ks is not worth mentioning i i think it is worth mentioning because the popularity caused a lot listen i found it fascinating to witness human behavior through his channel i found it incredibly fascinating but i think i have a warp sense of things so maybe that's uh part of my issue but yes you're right and that's why i didn't mention his name i just mentioned the youtuber or i meant you mentioned the channel by the way my coffee mug says just keep swimming just keep swimming by the way i don't see any questions if we don't have any questions look it's all over sylvia says remember jonathan you have you have to spend at least a hundred hours together before you really know if there's potential future so many of you know i i share with you it takes it takes about a hundred hours of face to face time to get the first level of trust when you meet a total stranger now in this particular case with my love interest we had known each other for a year as friends and we spent a fair amount of time talking to one another as friends so when we met it wasn't a total stranger we were meeting two people that shared a lot with each other in a non-romantic way so that when we did connect there was a stronger sense of familiarity folks if you're not familiar with the book Talking to Strangers by Malcolm Gladwell i highly recommend this because in the today's dating marketplace we are meeting total strangers i'm it folks i'm a little bit unique first and foremost i'm an excellent communicator both uh in the physical sense and in the emotional sense i'm not like most men i clearly want to get remarried and i'm very deliberate about that i'm intentional i give you this advice because you're meeting mostly dysfunctional human beings remember emotional maturity relationship skills 20 percent of the population has clinical mental health issues this is not a fact it's merely opinion and while 20 percent are emotionally healthy and i'm being generous with that 60 percent are dysfunctional so you have an 80 percent chance of finding someone who isn't emotionally mature enough to be in relationship and when we began connecting when we agreed we wanted to explore a relationship we started from a sense of radical honesty we even did my dating vows to begin the process so that accelerated the the need for 100 hours wasn't there we've accumulated probably 85 hours so far so it's not an absolute it's just a guideline not a rule but thank you so much i appreciate that all right now we got a lot of questions coming in uh let's see christine you're gonna have to rewrite your question i don't i can't find stuff so uh let's see personal question how was your personal question how was your camping experience what did you scut discover so most of you know that i do use psychedelics as a way to connect with my higher self i was able to do a journey it felt like doing kind of a wood stock kind of experience this one a lot of great music i posted one of the songs in my community page that i absolutely love i can't pronounce it um but go to my community page uh it was a great experience i was able to connect and you know when you're kind of in la la land in love i'm not when i say i'm not i mean when i say feeling a sense of love not necessarily in love but feeling a sense of love it makes these experiences so joyous i really connected with my body i connected with other human beings in a heart-centered way so it's a great experience and i just want to thank you for it and they're doing another one in september but i will tell you the road to get there was horrific so all right jennifer writes question is your new girlfriend moving to la to be with you well not as of yet however she has two children that live here and several friends she grew up in los angeles even though she lives in chicago and i would say that that would be definitely on my bucket list if if we reach that point in the next three to four months that would be my interest in the next six months to nine months to happen so thank you so much and it's what i mean is it's it's worth exploring and talking about it you know folks i know many of you know i'm not a big fan of long distance relationships and let me tell you why why i despise long distance relationships 97 of the time they're fantasy relationships because men will subtly love subtly love bomb over the phone there's almost guaranteed sex upon arrival you can't see the person's day to day life they could be hiding something long distance allows for an easy exit plan or worse they can be talking and talking and talking and never meet and honestly most long distance dating today is virtual therapy it's cyber therapy for a lot of people this is why i'm not a big fan of it but if if you're like myself and my love interest the ingredients that make it work a strong connection upon meeting with sexual attraction for one another radical honesty laying our cards on the table to determine shared values emotional maturity meaning healed childhood wounds and acceptance of past relationships a flexible lifestyle non-attachment to each other or an outcome and a true desire for commitment yes long distance can work 97 of the time they don't because many of you are fucking living in a delusion about them because you're not showing many human beings don't show up as a grown-up in a relationship folks you know i refer this book all over the all all the time eight dates by doctors john and julie gotman you must be reading chapter one to get a set together preferably to get a sense of compatibility before the penis ever goes inside the vagina i'm already schooled you know i come fully trained you guys are dating children out there and many of you are children so no wonder it's a mess and please don't take offense when i call you children i'm not here to act um all um what's the word um authoritative or not it's just a sense of fact i know i pontificate i know i'm a bit righteous because i'm here to be your fucking wake-up call thank you for letting me rant there all right let's keep going um jaleen says what does a hundred hours look like six months with two dates per week no okay two dates per week um well if you're spending let's say you spend five or six hours maybe you spend the night together once you can accumulate a hundred hours in a short period of time what's most important are the quality are the hours quality together is there radical honesty or is it how's your day going did you have a good day i hope you had a good day how was the gym did you enjoy the gym how was the drive to the gym did you use your phone on the drive to the gym yeah that kind of stuff ain't gonna make you connect radical honesty is deeper question what does commitment look like for you what emotional traumas did you experience in childhood what's your political affiliation what's your religious pill affiliation and then talking and unpacking things together that's how you get to know another human being instead of how's your day going and a lot of fucking text message that's this what what what what what what what what all right that's my rant sylvia says jonathan awesome jonathan love it thank you colleen here's your question how come question how come men seem to want a barbie doll when they look like a potato head just like how women fall in love with ryan gossling and george cloney and brad pit okay the same reason okay beauty is something look at i i i have a thing for uh kate beckensdale i mean she just does it for me okay i don't think she'd ever date me i got a little bit of a gut you know i'm i'm getting saggy i'm a little bit older in her you know but i still have a thing for her you know it's just human nature to be attracted because beauty now barbie doll to me is plastic um wait what's that song i'm i'm a barbie girl living in a barbie world i'm so fantastic i made a plastic um but you know what it's human nature to be attracted to attractive people but i'm not by the way ladies i gotta tell you something i am so grossed out at the fake lips and all the crap women put in the filters and the snapchat and everything sadly women look horrific these days especially here in southern california i am grossed out at how much plastic surgery many women have uh are between the fillers and such now i will say my girlfriend has these natural cheeks and i always joke with her how much filler do you put in there but they are her cheeks according to her so anyway all right let's just keep swimming uh lisa said did you watch matthew hussey's video about where to meet high-value men not yet but i'll look for it rose says question jonathan i'm happy for you congratulations although that's not a question thank you so much um let's keep swimming let's keep swimming let's keep swimming all right uh amy sue writes question how should we feel when a stranger we meet find out we're naive and proceed to treat us badly because they can get away with it well i don't think you should ask me how that feels i invite you to ask yourself how does that feel now to be naive means you're giving someone else your power so i'm not a big proponent about that i'm here to encourage women to be in their empowerment and not look at you don't need a man to love you for you to feel good about yourself number one okay so nativity to me is an excuse okay now it doesn't look at my god my dad used to always say you can put your faith in a la but don't forget to tie up your camel it's per by the way it's important for you to be your own advocate in life okay now someone treats you poorly it's gonna suck you don't need me to tell you that you don't need me to tell you that okay 10 10 10 1138 that reminds me of thx 1138 perhaps if we focused on similarities as human beings instead of divisive beliefs there would be success amen thank you for the $10 super sticker for that i appreciate it all right question my my x of two years share an rv which continues to share payments will this keep me from a healthy relationship well that's an interesting question i think attachment to the other person not not the monetary attachment but any emotional attachment will block love let me repeat that any emotional attachment to block love let me tell you some of the blocks to love fear wounds are blocks to love lack of direction in your life is a block of love misalignment on values and lifestyle is a block to love emotional immaturity is a block to love a lack of trust is a block to love a lack of commitment and conviction is a block to love sex before any level of commitment is a block to love those are just some rough thoughts thank you so much for your question mr carlow i appreciate it all right have you heard of burning man well it's interesting my girlfriend sent me a meme about burning burning man so i'll just share it what it looks like really quickly let's see if you can see it one of the most powerful art image pieces from burning man a sculpture of two adults after a disagreement sitting with their backs to each other yet the inner child in both of them simply wants to connect age has many beautiful gifts but one of one we could do without is pride and resentment and holding on to conflicts forgiveness free spirit of children is our true nature remember oops i'll just finish remember this when you feel stubborn yes i'm a big fan of burning man and we hope to go together so thank you all right julian says i don't believe in long distance relationships either i don't believe in long distance dating we went from two visits to agreeing to a relationship now we're exploring what partnership could be for us but we're doing it in the forms of an agreement of monogamy exclusivity we shared the dating vows with one another folks if you're not familiar with my dating vows we shared this with one another i'm going to read it to you first off have you ever heard the saying women are the gatekeepers the sex and men are the gatekeepers of commitments so are the dating vow here it is we agree to explore the process of getting to know one another with the intent of declaring something serious the next three to six months we agree to be monogamous sexually while we have regular sex together great sex by the way we agree not to actively to meet to seek to meet or date others while we're in the dating process including taking our profiles down we agree to speak up if this isn't working versus pulling back ghosting or disappearing and we agree to invest regular time in the process to get to know one another which looks like in our particular case we've already planned the next visit here the next we're going to on a trip to mexico and then the next visit here and then my visit there we have already put the pieces in place it's an agreement unless each one of us is a sociopath or jackass i think we're going to live up to the agreements anyway thank you so much um by the way lisa ldr stands for long distance relationship question your son callin loves you most what's his feedback to you about your new love interest i trust my loved one's input like it's it love it like a drug so calling it calling sick of hearing me talk about it uh no he's very uh he's very supportive and i'm in la la land folks i am an absolute gaga la la land and i i want to share this with you listen i've had what feels like 500 dates in my lifetime first dates i've had at least a half a dozen relationships that lasted more than three months um i've certainly had a lot of second dates over the years but very few of them get past the third or fourth date um i'll say maybe i've had seven or eight relate no maybe in my lifetime maybe seven or eight relationships no maybe nine or ten or relationships that lasted more than three months what i can honestly say for the first time in my life that this feels totally different this feels different and the one i appreciate is that we both feel comfortable to just be ourselves what i appreciate about her and what she shared with me she said jonathan for the first time i i feel like i'm with somebody who i can just be myself and this feels calm there's no anxiety there's no there you know there's a little bit of there's a little bit of growing pains you know in that sense that there's a tiny bit of fear but that fear is just the of the unknown not that there's a mistrust going on but we feel such a sense of listen in my past relationships i had a habit of feeling like i walked on eggshells i hated that feeling of fear of speak speaking my truth for fear that they'd go run away the fear that the sky would fall and she in her own right i don't think she'd mind saying this she felt unappreciated under unvalued not a priority in her past relationships so what i appreciate most is we're both showing up on the 50 yard line you folks know i talk about this incessantly the healthiest race relationship is not the one up one down like the youtuber was talking about the healthy relationship is driving at the same speed together showing up on the 50 yard line this is why i love the book and i talk about it incessantly if the buda dated because it talks about throwing out the bullshit gender rhetoric that creates so much of the divide between men and women if we threw out the fucking gender rhetoric and started to show up just as human beings with one another we have a greater chance of success and yet sadly most human beings aren't honest not with you they're not honest with themselves and when if you're not honest with yourself you can't be fully transparent in relationship i have worked through so much of my mother father's shit i have i've invested thousands of hours of healing my childhood wounds and traumas she had done a life spring and other things in her youth to heal all that shit this is why i continually recommend the book the hoffman process this is a deep dive into healing childhood wounds and traumas that cause negative patterns and limiting beliefs in one life and it's one of the reasons why many of you are suffering on the inside of not feeling good enough not feeling lovable and not feeling likable and if you want to change the narrative it starts from the inside out it starts with these two words self love that's gonna change the narrative and so what i feel like for the two of us is because we show up as emotional grown-ups and unafraid to speak our truth with kindness this feels different i gotta tell you it feels fucking phenomenal i don't think i've ever felt this much joy with another human being and she's not perfect she's got her picadillos and she's got things that annoy me i've got things that annoy her i am the most complicated fucking human being on the planet i over analyze everything i am exhausting to another human being and she's a storyteller she does what most of you women do you ramble incessantly with no fucking point and yet i think what we appreciate most is our differences it's our weird that we appreciate most i'm gonna read to you something we are all a little weird and life's a little weird and when you find someone whose weirdness is compatible with ours we join up with them and fall in mutual weirdness and call it love guess who said that dr seuss dr seuss all right i ranted enough there let's see what we got in the way of questions jonathan are all men watching porn or does it just seem that way guys seem to expect women to look and behave a certain way i feel objectified a lot of the time it seems porn related yes a lot of men do watch porn not all men a lot of men do is it healthy i don't think so i think porn and swipe dating has bastardized the dating process porn and swipe dating has bastardized that's what the dating the mating process so yes i do agree with you all right julianne says we women need to talk on and on and on oh my god so so with with her and i we have a little thing i say now bring it back to us bring it back to us like i mean she goes off in one of these tangents you know it's a squirrel and the other thing i say what was your point again so i can bring it back to to us all right uh there was a question brenda asked have you had a fight yet no but we've had we've we've shared what we call is a withhold so a withhold is if you're holding back on something in fact today she shared one with me so what we do is if there's something we're reluctant to share with one another it's like we're withholding it we have an agreement to now it's something i learned in my spiritual community so i say i have a withhold that means i'm holding on to something i want to get off my chest without judgment without fear and so we get it off our chest and we resolve problems pretty quickly so we've only had one or two just even i mean we've had a couple things where we've been off but no fights and i'm sure it's going to happen what i appreciate most about her is she operates like a grown-up it's not about being right it's about being happy she knows how to fight fair i have that sense so thank you so much for that question uh jennifer says i've been watching you for years and so happy you met this amazing woman i've done tons of healing on myself too and even held health stuff because i released trauma in my body yes yes yes release the body that's the trauma in the body uh let's see what else we have here barb grant says joth and i'm so happy for you i've been watching you for three years now and i had not entered into a relationship i would love i i would love to meet you i think we have a lot in common thank you so much barb i appreciate that all right uh all right let's keep swimming let's keep swimming terry says my first live chat yay all right great question from kimberley from chicago by the way i heard it's storming in chicago right now does your girl watch your live stream so um so she didn't watch any of my videos before we met she finally watched one of my videos after she came to visit me here after our chicago my chicago trip and she's a sweetheart she's like pointing she's like trying to make me look better so i changed my hair a little bit i'll probably um probably get some of my sunspots i'll go to get them lasered off because she wants me to look my best um but she's not interested in my videos um she doesn't need to me she doesn't need to be we talk about stuff that we she doesn't need to watch my videos because we talk about how to improve our relationship every single day and by the way i'm gonna confess something i can't believe i'm gonna say this but we've been averaging an hour and a half in the morning phone call an hour during the day and another hour and a half to two hours at night i can't get enough of talking to her and i'm a person that talks on the phone incessantly all day long so i i just can't get enough of this person look i'm in la la land that's going to change once there's this the the the newness wears off but you know what i have what my friend tammy says i have funny tummy and i love it so anyways thank you so much uh bum bum bum um debora says do you think performing a wedding had any effect on your decision no uh that was uh that's a non sequitur so thank you i don't think i had anything to do no the benefit of going to the wedding and performing be officiating a wedding that put me in her orbit so yeah that had a lot to do with it all right kerry leg says question when you have girlfriends for a long time and they flirt with your boyfriend or a guy you like why do women do that ego fear i mean you know it's it's an unconscious egoic fear that shows a level of disrespect for friends if i understand the question correctly um and it's also a sense of arrogance a sense of entitlement so ego fear sense of arrogance a sex sense of entitlement a good friend wouldn't do that in my opinion so sorry about that kerry leg thank you debora says i wish you the best thank you so much uh silvia are you dating long distance no i'm in a long distance relationship which again as i shared early in the broadcast i am not a fan of for the reasons why and i shared early on the broadcast why i think it'll work between us okay um jamie says thank you jonathan i wish you told me i was wrong about porn lol but it but be that as it is may do you have any advice for women on how to deal with porn issues um disconnect the guy's internet when you're at his home i don't know that's not my area of expertise i would i i think pornography desensitizes men just like vibrators desensitize women okay by the way vibrators can fuck up sexual experience as well so let's not that's you know i listened i don't mean by the way masturbating can desensitize a guy look at we should be fucking all the time with each other and not our hands or our vibrators looking at pornography um but that's just my sense of of um or at least have phone sex with your partner anyway i'm just i'm being obnoxious here i hope you don't mind so thank you jamie for that you're not wrong pornography has by the way for some men though for pornography because women listen women have made it some for the younger generation there all they've got is pornography in their left or right hand so for some guys that's all they have anyway that's my thoughts thank you jennifer el says butterflies in your tummy funny tummy yes uh who just said that janet says jonathan communication is good thank you so much i appreciate that terry uh are you marion are you disappointed that you took so long to meet up so folks we talked a year ago before we met and to be honest with you i didn't like our first phone conversation and i don't want to throw her under the bus as to why but in our second conversation we had a healing on that issue here's the thing folks i wasn't look at after connor after my mom passed away and connor passed away i needed to regroup inward and which included doing a lot of healing i'd done the hoffman process prior to my mom passing away i did insight seminars after connor passed away i wrote my book what the heck is self love anyway a journey of personal development self-help and spiritual work i needed to do all that work and then covid hit and thankfully what changed my life was this youtube channel being able to express myself the last two years so even though i didn't meet her in may of 2021 i needed more healing for myself to be in a position where i could be right now um to be able to lean into this relationship fully in my empowerment and so yes am i bummed it didn't happen sooner but you know what get busy living or get busy dying the past is prologue all i have is now and that was with the message i said earlier today all you have is now the past even the past about our women happier now what matters most is the now because the past is prologue so thank you for that question uh deborah says she doesn't watch your videos question mark question mark but number one has she done therapy like the hoffman process not project yes she has done life spring and a few other things so yes uh she has done it and she guess what she has me i can help her process a lot of stuff i'm good at this yet so anyways we have each other so all right i'll show her picture one more time because i feel like bragging here's a picture of her that i like can you see that i know it's a little fuzzy uh anyway she's gorgeous to me all right folks you know what i've said a lot uh what's her age same age as me uh so i'll leave it at that jennifer says she's beautiful thank you so much i'm watching from a hospital thank she's beautiful thank you so much i'm watching from a hospital i'm currently working what's up thank you so much uh linda says good luck kerry says oh beautiful hey will you put your wedding ring hey will you put your wedding in live i never thought of that raw would i do that probably not i feel like i want to go to burning man to get married that's where i think i want to get married and she wants to do burning man with me uh anyway folks you know what this would be a great place to wrap up our women less happier now than in the past who gives a fuck what matters most is to find your happy now because the past is prologue we can't change the past all you can do is focus on your now and that's my invitation for you if this video resonated with you please hit that like button please share this with friends please subscribe to my channel if you'd like to learn how to improve your love life check out the link to a free discovery call with me to see if working with a coach is right for you i think this will be a good place to wrap up my video first off i'm going to do what i oh by the way post a comment as well i'm going to do what i always do is first off give myself a big gigantic jotham barack of self love i'm going to reach into the camera and give you a hug of love if that's okay i'm going to ask you to turn to someone a pet teddy bear a pillow and give it or them a hug of love because hugs are a great source of love and let's face it we could all use more love in our lives i want to thank sherry and raw and jennifer and carrie and stephanie and debora and terry and jamie and alexandra and tin and pamela and linda and janets and uh pa pa pa pa pa el de carlo and uh kimberley uh marianne everyone julianne thank you so much wishing you a fabulous evening be well take care


First, many thanks to Karen and Eric for first, for organizing this event in three different versions. I think it's a good compromise. It really works well. Then thanks for the invitation to speak here. It's a great honor for me. And as many other speakers, I will go back to history to March 98. I just arrived at CPT Marseille at that time as a postdoc. And then a larger group of us went to a conference on the community geometry in Beatrice and Mara in South Italy. And of course, there was a contribution by Alucon. And Alucon reported on really fascinating groundbreaking work by a physicist, Joe Kreimer, who discovered the termization confit theory, which was a mystery for many mathematicians, is actually encoded in Hopf algebra. So it was absolutely remarkable and even more remarkably is that the same Hopf algebra in a slightly different flavor appears in another work. Alain was doing with Orymoskvici on the local index formula for with certain hyperlipidic operators on space affiliations. So of course we didn't understand immediately all the details, but it was clear to everyone that there's absolutely great development and we have to understand it. Well, so it had enormous impact to our group in Marseille. So we had seminars on it, we stopped all other work and wanted to understand it. So, okay, I work with Tuma, Tuma Kruski, our next speaker on this, and we soon understood the generic structure, but we had problems with overlapping divergences. And, okay, I think it was Bruno Yukon who invited Joe to Marseille for the end of May and as preparation for discussion. Tuma and I made our notes a little bit on archive. And, okay, here that's more or less the first part of our paper, and I want to highlight one sentence, which is to result already of discussion with Duke. So here we describe how Duke treats overlapping divergences. And there is a story behind this sentence. The story is more or less this. So I found on an old computer my email correspondence with Duke. So this Duke's message from May, and so, okay, he explains what to do and what I want to emphasize is here that so he points out that to understand overlapping divergences. It's assumed that the reader digested the use of stringer-dyson equation and refers then to the amputation thesis where okay, this can be found. All right, so I stop history here at this point because I discontinued working on the algebra. There are other speakers who can do this much better than I can. But for me, these divergences equations, they are of absolute central importance. Back in 98, it was new for me, but in the meantime, they really become, I would say, my most important tool. So and then I would like to show this impressive page. So this impressive number of 11 papers, authored by Duke, which have divergences equations in the title. So just in title. So I'm sure there are many, many more divergences equations are the main, one main subject, but already in title, there are 11 papers. So free with Karen, but many, many more. So, okay, therefore, I think contributing something on divergences equations is something well suited for this description. Okay, one can say really a lot about divergences equations. You can lecture series and so on. So I will be very short and give some general idea and then we go to to a specific instance. So desert equations are some equations of motions for green function from three three. One can understand graphically as the collection of five and graph series of same external structure. So they form blocks and the equations are of that type. So, for instance, one is interested in a connected two point function. And then one follows here the first line on the left. What can happen? Either a line goes through nothing happens. That's a free theory or it hits somewhere. So then you write the verdicts and then you ask what else can there be. So in this case, it will be a connected four point function, which then Well, What happened? So, Yeah, so, okay, there's a very, this picture is very easy to understand when collecting five and graphs, but the point is, somehow this assumes that the series of five and graphs converges, which is absolutely not clear. So, but there's another remark. So, such an equation can be completely rigorously derived without any reference to bed vision theory. So that's an exact equation. Which can be solved by pedperon theory, but it's not needed. So, therefore, in fact, these digital equations are known for different equations. The problem is, it's always sometimes often hard to solve it. And the problem you see already here in the structure. So you want to know something on the two point function. That's what you want to study. But this equation involves here the four point function. So that's the typical feature that somehow you need to information that you don't have it. So, either one has to solve all the situations simultaneously, which of course is difficult or one has to work. So, and, yeah, I'm working particular on concrete theories on finite dimension approximations. Another word is made model. So in these in this setting, it happens that these equations somehow disentangle. So we get equations where this relation sign is reversed. So the interesting endpoint function and then we only need functions where the number of legs is smaller, not larger than N. So the price to pay is that this question become nonlinear, and that's also difficult. So, okay, now I come to the subject from three theories of particular type on matrices. So, all right. So starting point is fundamental theorem in harmonic analysis to go now. Who proved that whenever we have an inner product in the vector space, so find dimension for simplicity, for instance, the space of separate joint and by matrices. Okay, so it's spring. So, okay, the theorem is whenever you have an inner product on such space, then there is a unique probability measure on the dual space was fully transform is x of minus one half inner product. It's completely general. So, we take a very specific inner product on space of matrices. If we give ourselves n positive numbers you want to be in. So this summer stand for the energies or the spectrum of the plus operator truncated to n levels. So when we build a scalar product, well this one. KL and prime k divided by EK plus EL. So that's Gibson with a product and okay, we take this one. So, as I said, it has something to do with Laplace and other geometries. And, okay, here that's sort of Gaussian measure and everything is now, of course. Okay, we will not stop here for the next step and also next step will explain why we are interested in this particular inner product. Okay, the reason for choosing this inner product is the consequence model. So the consequence model is a deformation of the measure I just introduced for free theory by a cubic potential. So e to the minus lambda and discovered that. Okay, if you do where computations with this particular measure so vacuum graphs and to understand them as function here of these vector values you want to get. Then this gives rise to what the numbers which you get rational numbers. There are in fact intersection numbers of total logical classes on the movie space of complex curves. So it's very deep result. And so there are many, many developments connected to this result. So it's an incubate model related to the KTV hierarchy. So in fact, all these relations were already suggested by written short before and conservative proof by inventing this particular measure. But it's of course not a real measure. As you know, if I cube is unbounded, you know, so you better have lambda purely imaginary and then it's not a measure, but formally this. So, okay, and it's connected to something which is very professional. Now to put a question also talk by tomorrow. We'll deal with it. And so. Okay, so, and, okay, this everything is known. So we are interested in the deformation by aquatic potential so far to the fall instead of five cube. This is a very small step from point of view of concrete and very natural step lambda five to the fall is much more nature than lambda five cube. But the mathematics is completely different. So there is clear logic by conservators fight to buy cube. And you may find cube has something to do with simple zeroes of stable differential on human surface. And you cannot place it by fault, which would be quadratic zeros and but these are exceptional so the generic case is really fight the cube and there's absolutely no relation mathematically between five cube and five to the fall. Also pet Bayesian theory is completely different. It turns out, however, that that's the recent result of previous year that nevertheless we find structures which are completely similar. Mathematical structures has something to do with topology recursion. And well, this is the subject of the talk. But one remark. You get something from three. So it's a toy model. But it's something where we have really exact solution. Exact and company constant. So, okay, that's the content. Okay, so let's start. A starting point. Well, is, we will derive the equations. So we consider now the full transform of the measure. And that's the full measure. So depending on the spectrum values, you want to be up again. And the company constant. So that's the 40 deformation. So then it's a completely elementary exercise to derive these equations of motions. For the full transform. So, and these are important. Because if you remember, I try to go back to the picture. So, okay, these external legs in this formulation result by differentiating the full transform with respect to the source matrix. So if I have any derivatives, then I get an external X. So derivative with respect to M brings the five downstairs and then graphically, this is the end point function. All right. So, and the problem is then in this equation, we have too many extra legs and these equation help us because they allow to express here a second derivative. So it gives two additional legs. Second derivative of the full transform by something which has only one leg or in this case no leg at all. So, okay, we can express these derivatives by something which has less derivatives. Or maybe the same same number, but okay, that's the key point, which is not available into the concrete theory that's special for matrix models. So that's the key, but it can go much further than for normal. Right. So I will show some of these equations then which results. So the idea is you differentiate some more times and then you get identities and these identities are the dysentery nitrations. Okay, so these different questions, they, they have them. They inherit these matrix indices. Of course, and then we have a finite number. Distinguished by finite number of matrix indices of these equations. So there's a key step. Namely, it turns out that one can complexify the resulting lines to equations. So that they become equations between mirror morphic functions in many complex variables. Of course, they are given by a finite number of points and complexifying them. Well, it's not unique, but there's a natural way to do it. So stress that there's a very natural way to obtain the equations for mirror morphic functions. And then we can use the whole power of complex analysis to tackle and to solve them. So in doing this, so after complexification, we can relax a little bit. The conditions that these you want up to end were previously degenerate. So we can admit multiplicities. So our different eigenvalues are different values are little e1 up to ed and they come with a certain multiplicity. Not really important, but it gives us a lot of flexibility. So here is the simplest or the first equation which one gets. So we consider here a second moment of the measure with a two point function. All right, there are certain factors of N. We give it a name. G is two indices. Okay, if B is different from Q. No, that's okay. But here's something else, then it's zero. So that's the interesting object to study. So we're interested in large N expansion. So this is a formal power series and inverse powers of N. Turns out it goes in even steps. And a little number G, the parameter is or will be related to the genus of Riemann surface. So that's it. But okay, here it's just a name. But there's this form expansion. So as I said, we complexify it. So here everything is discreet. We complexify it. So we arrange that our G, PQ is actually the evaluation of a mere morphic function in two complex variables, sine eta, no, theta, theta and eta. The theta is EP. Sorry. And eta is EQ. So these initial spectrum values, if we evaluate our mere morphic function on them, we get back this, okay, the exponent coefficients. So, and the first equation is this one. So it has a long history playing with that because many, many years ago. So important thing is that's an equation which only involves the, this two-point function complex by two-point function. So that's nice to have. But as I said, the price is it's a nonlinear equation. So here's the linearity, which was really hard to understand and to solve. So it's a very general setting. If we go to the large end limit, then we could have divergence. So better have Bayer-Mars and Bayer functionalization there to have a lot of freedom. Well, so, okay. Well, for me, the breakthrough was in joint work with Eric, which we achieved during a school in Lisouche organized by two years ago, where we were able to solve this equation in a special case, namely that the multiplicity is one. And all these spectrum values are equally spaced. So this is a particular choice which corresponds exactly to the lambda for the form model or two-dimensional spatial space. There's a particular interest in studying this in large end. So it turned out that doing this, so all these sums become integrals and so on. And then, okay, you do perturbation theory, not for this equation, but okay, for some of you, this is an excellent equation. And remarkably, using Eric's hyper-end program, pushing far enough, we understood the first coefficients. So data model pattern, and we understood then that they are the first terms of a series, which is the series of the lambda function, lambda w function. Okay, so, well, that's something. Solving such a non-equation to lambda w was, okay, unexpected, and this opened the way. So it opened the door to take the general case. So the lambda function has special properties. And after understanding them, which took some time, we understood the general case. So take general e-case, general r-case, finite or infinite, whatever, we can solve in any case this equation. So a particular interest is the forward margin real space where we get, instead of lambda function, we get the inverse function of the hypergeometric function. So this will be covered in the over next talk by Alex Hawk, 1550 in Paris time. So he will present more details on this approach and very nice consequences of this example. Good, so I continue with the discrete case because here for finite d or finite n, there are extremely nice structures which appear, which has something to do with complex analysis and algebraic geometry. All right, so that's also a long history, but I will just give the final theory. So I will describe the solution of this equation in complete generality in case of finite, and finite d. So you have to do something. Remember, we are given these vectorist ek, multiplicities, and coupling constant. So define new parameters, epsilon k, rho k, which somehow deform from these data in a following way. So build such a function of z, z minus lambda divided by n. Okay, that's a fine sum. So here you should see in a certain regime, this will produce a logarithm. And that's z plus lambda log z is then, okay, the inverse function is a Lambert function. So there's a logic behind this, which can be guessed from the Lambert function. All right, so take this problem, function R, and okay, here you have epsilon k, rho k, and they are implicitly defined to satisfy of epsilon k is ek, and our prime epsilon k, rho k is rk. So that's implicitly defined problem. So then, so remember this was the function we want to have. So of this equation, hopefully.  And you transform variables, and after transformation, the result is script G. So for this function script G, we have a formula. So here it is. So it's, well, it's a regular function that's important. And it involves the definition of r, and so r of z can be replaced by zeta. That's clear, but the point is we also have the negative r of minus w of minus z, where we can do it directly. So that's direct relation, so we have to go via r. So r's gone. Then notation, there's a little head. So the head means, okay, first go back here. It's, well, you see, this is a function, which is the ratio of polynomial of degree D plus one by polynomial degree D. So the D plus one pre-images of every value. And the other pre-images except of the principle one they carry head. So this absolute head are then the pre-images of these deformed energies. Okay, so that's the solution. And so proving it when one knows what to do is very, very easy. So that's, you can give it as an exercise in complex analysis course. But it really took us 10 years to come from this equation to the solution. So, okay, remark, symmetry, although it is not manifest, it is automatic, can be checked. And yeah, okay, that's remark. And that's the point. Good. More remarks. So again, stress, that's the solution of nonlinear Dyson Scholar equation. We found it first with Eric by, well, brute force, I would say, preparation theory and a lot of luck that understood what we were computing there. But then we proved it. So what we got an idea and then the proof is beautiful. It's beautiful complex analysis. So then, of course, you ask, how is this possible that you solve an only a problem. And it's more or less clear, there must be something behind some deep structure, which we don't have it. But we are confident to find it. And this involves the fine equation, which I will then talk next. Yeah. Okay, one remark. It's very important to deform the data. So originally we had a case with my capacity lambda and in these variables, you don't see anything. It's absolutely important to transform by the inverse of such a relatively simple function. Then we see a structure. And okay, it's an empty statement, but nevertheless, maybe one should think about. Maybe something similar could be true also in familiar conflictings that we have to transform in a way which we do not know to other variables. And in these other variables, we see more structure. Okay, but I have no idea how to do it in nice examples. Okay, so now I come to the final questions. So there, well, by general theory, analysis, it's clear they are solvable, but there doesn't seem to exist, seem to exist any theory which could give us this equation explicitly. So the key idea was due to Alex. So he suggested to look at auxiliary functions. So namely, so here these are our two functions. And so, well, they somehow depend implicitly on the initial data, the energies and the coupling constant. And so you differentiate these two function with respect to the energies. Of course, you can do this in practice because we don't control the measure. But okay, let's introduce them and call them omega with indices a one up to the end which okay one a one special and the others are derivatives. And then again apply these genus expansions. Okay, so, and the key step is, we don't need to know. We can derive doesn't make question directly for these omega n's why not directly they are coupled to other functions which I will introduce. And then we can try to solve it. So what we need are the initial date, initial data, our function are and the function, but nothing else. Everything else is contained in directions. So the for me at least complete unexpected result was that these oxygre functions. Unexpectedly translate to something which has a clear mathematical meaning, namely they are object of blog topology proposal proposed by bro and charting five years ago. So I will say a little bit on this. Okay, here that's more or less the overview what one has to do so it is not we are interested in these omegas. So from them we later get then the moments here these which point to effort. Okay, they were oxygre function but we have to introduce more auxiliary functions, namely these two sorts of them. And then one has to go through such a triangular pattern. So here this first box is what we know the two point function function and then. Okay, for genius zero, it's enough to compute this chain in the upline. But if you want to increase the genius, then we also need here this strange other function.  Okay, this is the way to go. Okay. Okay, these for all these functions we have dashed equations. And so evaluating the tease is relatively easy, but the result is horribly complicated and you insert this horrible result into the equation for the omegas. And then many, many cancellations arise and finally the outcome for the omegas is extremely easy. So I will only show the results, not the equation and not way to compute it. So first result is quite mark points. So interest is this expression here in parenthesis, especially the right one. So this is. So the differences is the background kernel of topology in charge. So, having found this, we knew that we are on the right way. So, and they're always these prefectors. So the idea is we multiply by the differential of our and any of these variables, also lambda goes away and then we come to differential forms. So one form in each variable. And so, okay. That's, so we know it's true in the planar case, otherwise it's contract jet. We, we are sure that these omegas ends have a very simple post structure so they are more mere morphic. And we think we know where the ports are so we are sure in planar case but otherwise it's contract. So they have inputs at zero on the opposite diagonal and on special points, the two of them were the derivative of our benches. So these are the so called ramifications points of the ramified cover encoded in this rational function. Good. Yeah, okay. So mark these keys to function they are much more complicated. They have many, many more points. Okay, so here's the few solutions. Okay, looks also complicated by in fact, there is a key logic and in fact, these are relatively simple functions. I wanted to show maybe show first this. Okay. And so these are non perturbed results. So that's important. In principle, you can use yourselves and finding which five man graphs use a five man graphs contribute to such omega GM. Of course, there are infinitely many of them. And so they, the sum is convergent. And so there are certain graphs of a certain external structure, certain topology and, well, all they sum to such an expression. And of course the dependence on the coupling constant is a little bit hidden. Well, remember, we had the system of equations, the epsilon case, in the whole case, they are implicitly defined. And then we have the betas solution of a prime beta zero. And when this system has to be solved somehow about implicit function theory. So abstractly, it's completely clear we have a whole morphic solution. And also, as you know, we have good conversions results if one wants to find a solution. But one can also approach them via a Taylor expansion to the implicit function theory. And then this Taylor approach will coincide with the five man graph expansion of a certain topology and external structure. So our idea is that this is something which we would like to contribute to this sigma volume for Dirk's birthday. It's really nice to compare the five man graph series with the exact result going in particular through the stratification points. So few remarks on color code. On the next two pages, I will show that the terms in blue have a very clear mathematical meaning. So there's something very well known. So in particular here you see these rational numbers appearing, at least some of them have a meaning as intersection numbers of characters classes on the multi space of curves. Not all of them, but many of them. And then here this term in black with posts on the opposite diagonal. We understand them at least in for all planar functions so genus zero. Projected by this key. It's true. And so we are confident that very soon we will understand them completely. The idea is that they are just there for confusory but maybe they will not have a meaning in mathematics. But these terms here in in red puts at zero because zero is special. So you remember we had always this reflection that goes to minus that was here, either minus beta. It's very special for this particular model and use the fixed point of this reflection and these numbers 1816 and so in particular these combinations of ratios of derivatives are zero. So my feeling is they have a certain meaning. So this is something which will extend the result of conceived to something but I have no idea what that's for the future. So, okay, now what are the blue jumps. So what so here there's a general picture of the ramification points. Of course I can only draw a real picture. So, if they are simple zeros then the real paper is just that square function. And then you have said, and the reflection is called sigma offset. So, means offset is off sigma offset and beta it to come together. So this reflection is the local gallery. So, okay, now if you do the following omega zero one is special. So you define as minus of minus that a prime of safety set. So in all other energy and as before, and then well surprisingly but there will be some origin. We have so called loop equations. Okay, these omega gm they have poles very high order at beta, but if we sum the conclusion at set, and at, sorry, and at sigma sets the reflect value, then the ports cancel. And you get something also constant term advantages. So it's something which starts linearly about the ramification point. So the quadratic loop equation that. Okay, it's a very strange combination. So we take omega. Okay, one genius lower insert that and sigma for said, and then you share it in product quadratic and you share that and sigma set in both variables. Otherwise you distribute the other variables and the genius. And then, so again, these are ports of high orders, but in this particular combination, all the polls cancel, also linear term tensets and you get some things a quadratic form in Z, which starts quadratically about the point. So, okay, this is true in Plano case up to five and also for one one. And of course we can check child is can be an accident that all these points can so this should be true in general. So then there's a general theorem of topology recursion that whenever you have a family of differential forms were more of it, which satisfy these absolute look equations. Then you know what is the polar part the polar part part of these omni GM with poles at the ramification points. And this part is given by such a formula. Okay, it looks complicated, but anyway, but this familiar. So that's the famous formula of topology recursion. And so in the original version of topology recursion was just this. So that's the formula how you build from so here on the right. Everything is known. So you want to compute on the GM and all the others are already known you have them. And all you have to do is to evaluate just this residue and he has a certain recursion kernel. The Birkenkernel integrated. So this something easy. And the market thing is that many many structures and mathematics follow exactly this formula. In, in large class of examples, PZ omega is equal to omega so you can remove the speed. There are no other poles, but it's both by boring charting that's not the general case. So when you only require these absolute look equations, then you can afford more. And then these formulae describe the polar part. And then there's something else, age the whole movie part will move at ramification points and they, okay, they are formed by these blocks. So additional input. So here's a picture. So that's the picture of topology recursion. So, okay, we live here on space of lines, compactified complex lines to mark points on the remand service. And so you want to build such a particular form and that space and the idea is you distribute lines and general in all possible ways. And then you glue everything with recursion. So that's done on top of recursion. And in the block case, there is an additional input at every request step. So important point is that's an infinite space, but our omega g n select one particular part in this space. And question is what's the significance. Good. It's a sort of outlook, whatever. So it is known from the paper that whenever we have these absolute look equations, then these omega g m and code intersection numbers on the model space of stable complex graphs. That's a general fact. So, and they give formula. More or less the ideas we get in general several copies of the same intersections of the cyan copper classes so cyan churn classes copper among four classes as in conservative model. And, but they are not independent they are coupled somehow or describe what they give a precise description by the blocks. So, any case, I get something, but it's not clear that this of interest. So here, but in our case we have this global inclusion that to minus it, which places special order so that let's hope it's not proved. I hope that at least these polls about zero could have some meaning in mathematics. We do not know what, but it could be something. So this, so this global inclusion as an addition structure on the movie space of cars. So another thing is so you have endpoint functions forms. We don't have partition function itself. At some point, we would like to identify it. And then the interesting question is whether this partition function is a top function for a he wrote equation. So if so, this would be a precise formulation of instability. So in general top logic version, there's always this relation. There's always a top function. For block top logic version does not know. So it could be could also be not the case. So there's something which one should decide. Okay, I think I am, I'm time. All right, so someone Yeah, it was on first talk on the string equations. And so it's just from the fiber fiber grass where it's the tool to disentangle the problem of interverges is to things but I presented. So the string equations are central to dark ones to me. And yes, so at least I tried to convince you that the string equations are really, I would say the best approach to study from field theory and paternity free. So in this particular case of matrix models from fields on the spaces. And produce a complete understanding. And I'm sure, but I can prove it that also other concrete series should be treated in this way. So brings me to an end to do. So I wish you a lot of pleasure and success with your work. Thank you very much. Thank you very much. I have a question for him. So what, what would be your advice, how do you use topological or plot topological the curve. And I want to go from software to quantum fields. Well, this I would say this relation is very special. But So, so I'm sure there's some instability and you can expect this for normal concrete series. But I'm sure that the idea to to look for to disentangle the problem. When you have a concrete theory that you split, you understand or understand it as the convolution of function with the inverse of another function. Part of the difficulty you throw in this problem of determining the inverse. As you have seen for the Lambert function. That's, it gives all the logarithms and equals then the knees and polygorithms and so on. And it's the inverse of a very, very simple function. So I'm sure something in this direction should be there also in other concrete series. I'm not sure. God, I'm going now sitting next to me so I can actually try to get something from him. That's that you will have to. Thanks. There are further questions, be free to raise your hand if you're a viewer or just speak up as a speaker. I have a question when you when you showed your formula for the, I mean these omega g and they're all everything's rational right there's no transcendental numbers. This one. Yeah. Yeah so so I was just confused because if I remember at some point, as you just mentioned there are transcendental things right there's logarithms and maybe some data values or poly logarithms. I said you can somehow match some classes of Feynman diagrams to these individual omegas. And I just wonder where does the transcendental score. Well, so it's to do this. So, so. Well, that's a total model of conflict. There's no organization. Everything is, it's a regularization. So everything is fine dimensional for conflict theory you have to go to the large end limit into infinity to infinity in a certain way. And this produces here integrates. And in the case which we had this was the logarithm. You almost see it here that this converges to logarithm. In other cases so that will be the presentation by Alex in in one hour or so. This will be hypergeometric function. And then you have to produce the inverse. You see it somewhere here after this transformation. And even if you have a very simple integral here. For instance, the inverse of the hypergeometric function is not clear to me that this is, well, of course it exists. It's a monotonous function. So it must have an inverse. But what it is, it's not clear. Expand it and you get all the hyper logarithms. So there's a step which is hidden here. So I described the fundamental case for conflict. We want to have the large end limit. Yeah. Thank you very much. That's very clear. All right. I suggest we we thank Reimer again for his nice talk.