Clay Mathematics Institute
Clay Mathematics Institute
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Відео

Isabelle Gallagher, The work of Frank Merle, Pierre Raphaël, Igor Rodnianski, and Jérémie Szeftel
Переглядів 3957 місяців тому
2023 Clay Research Conference
John Pardon, Derived moduli spaces of pseudo-holomorphic curves
Переглядів 5437 місяців тому
2023 Clay Research Conference
Laure Saint Raymond, What does entropy measure?
Переглядів 6427 місяців тому
2023 Clay Research Conference
Ivan Smith, The work of John Pardon
Переглядів 4067 місяців тому
2023 Clay Research Conference
Chanyang Xu, Kähler-Einstein metric, K-stability and moduli spaces
Переглядів 2097 місяців тому
2023 Clay Research Conference
Igor Rodnianski, (some) Things you always wanted to know about Mathematical General Relativity
Переглядів 1,2 тис.7 місяців тому
2022 Clay Research Conference
Ulrike Tillmann, The work of Søren Galatius and Oscar Randal-Williams
Переглядів 563Рік тому
2022 Clay Research Conference
Peter Scholze, The work of Bhargav Bhatt
Переглядів 4,5 тис.Рік тому
2022 Clay Research Conference
Bhargav Bhatt, Vanishing theorems in algebraic geometry
Переглядів 1,4 тис.Рік тому
2022 Clay Research Conference
Jacob Tsimerman, The André--Grothendieck period conjecture over function fields
Переглядів 825Рік тому
2022 Clay Research Conference
Kevin Costello, Scattering amplitudes and vertex algebras
Переглядів 805Рік тому
2022 Clay Research Conference
PROMYS Europe, Summer 2016
Переглядів 1,5 тис.2 роки тому
PROMYS Europe is a six-week residential summer mathematics programme in Oxford for mathematically ambitious pre-university students who are selected from across Europe.
Timothy Gowers, The importance of mathematics
Переглядів 3,8 тис.2 роки тому
2000 CMI Millinnium Meeting
Assaf Naor, Probabilistic reasoning in quantitative geometry
Переглядів 3652 роки тому
2008 Clay Research Conference
Scott Sheffield, Quantum gravity and the Schramm-Loewner evolution
Переглядів 4912 роки тому
Scott Sheffield, Quantum gravity and the Schramm-Loewner evolution
Claire Voisin, Hodge structures, cohomology algebras and the Kodaira problem
Переглядів 5442 роки тому
Claire Voisin, Hodge structures, cohomology algebras and the Kodaira problem
Rahul Pandharipande, Curve counting via stable pairs in the derived category
Переглядів 3852 роки тому
Rahul Pandharipande, Curve counting via stable pairs in the derived category
Tom Mrowka, Monopoles, closed Reeb orbits and spectral flow
Переглядів 1882 роки тому
Tom Mrowka, Monopoles, closed Reeb orbits and spectral flow
Helmut Hofer, A generalized Fredholm theory ad some new ideas in nonlinear analysis and geometry
Переглядів 2792 роки тому
Helmut Hofer, A generalized Fredholm theory ad some new ideas in nonlinear analysis and geometry
János Kollár, Local integrability of holomorphic functions
Переглядів 2022 роки тому
János Kollár, Local integrability of holomorphic functions
Kevin Costello, A Wilsonian point of view on renormalization of quantum field theories
Переглядів 1,3 тис.2 роки тому
Kevin Costello, A Wilsonian point of view on renormalization of quantum field theories
Kannan Soundararajan, Quantum unique ergodicity and number theory
Переглядів 4112 роки тому
Kannan Soundararajan, Quantum unique ergodicity and number theory
Jean-Loup Waldspurger, Endoscopy and harmonic analysis on reductive groups
Переглядів 2502 роки тому
Jean-Loup Waldspurger, Endoscopy and harmonic analysis on reductive groups
Dinakar Ramakrishnan, Functoriality: ubiquity and progress
Переглядів 2302 роки тому
Dinakar Ramakrishnan, Functoriality: ubiquity and progress
Yair Minsky, Topology and geometry of ends of hyperbolic 3-manifolds
Переглядів 3222 роки тому
Yair Minsky, Topology and geometry of ends of hyperbolic 3-manifolds
Curtis T. McMullen, Billiard and moduli spaces
Переглядів 3542 роки тому
Curtis T. McMullen, Billiard and moduli spaces
Peter Jones, Some remarks on SLE and an extended Sullivan dictionary
Переглядів 572 роки тому
Peter Jones, Some remarks on SLE and an extended Sullivan dictionary
Heisuke Hironaka, Resolution of singularities in algebraic geometry
Переглядів 3,4 тис.2 роки тому
Heisuke Hironaka, Resolution of singularities in algebraic geometry
Herwig Hauser, Resolution of singularities in zero and positive characteristic
Переглядів 2362 роки тому
Herwig Hauser, Resolution of singularities in zero and positive characteristic

КОМЕНТАРІ

  • @uuujjwalsquare8991
    @uuujjwalsquare8991 3 дні тому

    Great

  • @uuujjwalsquare8991
    @uuujjwalsquare8991 3 дні тому

    Non technical 😂

  • @Yesboss5606
    @Yesboss5606 6 днів тому

    Hello sir, I have solved Riemann hypothesis. But I don't know how can I publish it to you. From India ❤

  • @BELLAROSE21212
    @BELLAROSE21212 16 днів тому

    P vs Np , P does not equal Np . Proff, A minus B equal X, Where X = 7,221,355,219,458,090 And where A is 1/x of B, A times B equal 1e30 …. Decision Problem**: Given the value \( X = 7,221,355,219,458,090 \), does there exist a pair of non-negative integers \( A \) and \( B \) such that \( A - B = X \) and \( A = \frac{1}{X} \cdot B \)? Verifying these conditions can be done in polynomial time, as it involves simple arithmetic operations. If there exists a subset of integers in \( S \) that sum up to \( T \) (i.e., a solution to the SUBSET-SUM instance), then the corresponding instance of your decision problem will have a solution (i.e., "yes"). Conversely, if there is no such subset summing to \( T \), then the corresponding instance of your decision problem will have no solution (i.e., "no"). Since SUBSET-SUM is NP-complete, and we have shown that SUBSET-SUM can be reduced to a decision problem, this decision problem is NP-complete. For the solution does exist with this author and can be checked with polynomial time …. For this quadratic equation is not feasible with current computational power, ChaT GPT 4/ math version does not correct give solution and can only approximate solution …. Since the problem cannot be solved correctly does suggest NP complete…. Since it could be simply checked with polynomial time, by simply Following the equation… X is given …. Does require precession mathematics beyond the scope of computational-counting-machine…

  • @abhisheksoni9774
    @abhisheksoni9774 Місяць тому

    You are an inspiration, Prof. Andrew Wiles

  • @jackalbright4599
    @jackalbright4599 Місяць тому

    Is anyone else missing audio? I see comments saying, "challenge accepted" and other things as if they were able to listen. Is it just me?

  • @kamilziemian995
    @kamilziemian995 Місяць тому

    Great, very insightful and at the same time simple lecture.

  • @julioezequiel8935
    @julioezequiel8935 2 місяці тому

  • @jasonandrewismail2029
    @jasonandrewismail2029 2 місяці тому

    incorrect interpretation at 20 min to 22 min. the Lagrangian does not represent what he said,

    • @justabarroth773
      @justabarroth773 7 днів тому

      Also the gradient is calculated by multiplying by the original exponent instead of dividing.

  • @bailahie4235
    @bailahie4235 3 місяці тому

    Its a pity that Andrew Wiles didn't wait for a few years before publishing his result, Fermats last theorem would probably have made the list... He could have cashed in 1000,000 dollars... 😆

  • @anthonylee2454
    @anthonylee2454 3 місяці тому

    5:49 Why does Bhatt say the tautological bundle when it’s the hyperplane bundle?

  • @lumpi806
    @lumpi806 3 місяці тому

    bad video

  • @EzraAChen
    @EzraAChen 3 місяці тому

    He is such fair person

  • @Dazeye3
    @Dazeye3 5 місяців тому

    Me watching at 14 knowing damn well I dont have a chance.

  • @parousia2771
    @parousia2771 5 місяців тому

    that's not proof, that's a scheme or schematic. I have the proof of the navier strokes vector, as well as Riemann theorem.. please reach out to me as the proof of Riemann hypothesis will be going on my own Rye whiskey label.. thanks -Tristen Guarnaccia

  • @simondwilkinson
    @simondwilkinson 5 місяців тому

    For lectures of this style, the camera needs to show the slides. Not some of the time. All the time. It’s not helpful to be able to see the back of the speaker’s head.

  • @andredebesa3193
    @andredebesa3193 5 місяців тому

    Good morning, my name is André. I'm Brazilian - scientist and inventor. I have answers to the following questions: -Logical sequence of prime numbers (DNA) -Adjustments to the relative points of light calculated by Albert Einstein (precise points) -Time/space relationship in rotary movement

  • @user-jb4ln7yk5d
    @user-jb4ln7yk5d 5 місяців тому

    I discovered a solution to the Riemann hypothesis and extracted prime numbers to infinityAbuod.H /Iraq

  • @ellielikesmath
    @ellielikesmath 6 місяців тому

    the intro guy is kind of a chode

  • @horizonvariations
    @horizonvariations 6 місяців тому

    This is the same way people are beginning to talk about Craig Wright, the author of the bitcoin whitepaper. Decades ahead of his time; waiting for everybody to catch up.

  • @lucanina8221
    @lucanina8221 6 місяців тому

    D8SCOVERY UPDATE 1:07:00 online there is a paper that says "Primes is in P" so there is a polynomial time algorithm for both 1) and 2) found in 2004 indeed 3 years after that presentation. Therefore it exists a polynomial time algorithm that says if a number if either prime or composite. If it is composite however no factorization produced

  • @ijivateilikaansaksie
    @ijivateilikaansaksie 6 місяців тому

    사랑해

  • @gooner9038
    @gooner9038 7 місяців тому

    I had the pleasure of attending this lecture and am delighted to revisit Freed's wonderful presentation. Thanks for posting!

  • @josephdays07
    @josephdays07 7 місяців тому

    The Theory of Spiral Angles, Spirals, and Trigonometric Partitions are seven mathematical equations that have different applications depending on the case study. In this study, two of the seven equations with which we analyze the Prime Numbers and the Riemann Z Function are used. These equations are capable of studying equations that are periodic and non-periodic without limits of periods, frequency, angular velocity, and time. The first is the Radius Growth Partitions equation which is applied to define an equation for Prime Numbers. This radius growth partitions equation counts its initial radius, final radius, spiral angle, and trigonometric partitions. This is an analysis of various plane circular waves; which are undergoing diametric cuts or partitions generating a cosecant line. With the spiral angles, various equations can be obtained that relates to the trigonometric partitions, or the posterior prime number minus the previous prime number, and the exponent of the prime numbers. The second is The Chord Partitions which is applied to define an equation for the Riemann Z Function. With both equations of the trigonometric partitions, we can analyze the behavior of the Prime Numbers and the Riemann Z Function, both in the plane of real numbers and in the plane of complex numbers. The equation of the Trigonometric Partitions of the Chord, has the final radius, initial radius, spiral angle, and trigonometric partitions. This is an analysis of various plane circular waves; which are undergoing diametric cuts or partitions generating a cosecant line. Therefore, with this new methodology and these new mathematical theories; trivial zeros can be studied, as well as non-trivial ones of the equations both in the plane of real numbers and in the plane of complex numbers. vm.tiktok.com/ZMjWKRLUA/

  • @josephdays07
    @josephdays07 7 місяців тому

    Acttually I have developed a new process to solve Riemann Z function. I have made this new mathematival equations;The Chord Trigonometric Partitions I created an amazing solution. I wrote a book about it. ua-cam.com/video/BBzZt-NWdqA/v-deo.htmlsi=Wg9nlX2G27DDnL_B ua-cam.com/video/Lk3n2cQpiF0/v-deo.htmlsi=ToWf6ZlbZcGBsSwg

  • @jonathanbush6197
    @jonathanbush6197 7 місяців тому

    I just cannot believe this entire channel presents all these whiteboard videos in 480 resolution. Do the lecturers know? I cannot read a thing. No thumbs up from me.

  • @jonathanbush6197
    @jonathanbush6197 7 місяців тому

    Max resolution 480? You've got to be kidding me.

  • @lovishnahar1807
    @lovishnahar1807 7 місяців тому

    plz reply sir , Im and indian student about 17years old i have two proofs written how can i show them to people with being afraid they can steal or do something etc etc with my work

  • @leewilliam3417
    @leewilliam3417 7 місяців тому

    Mmmm😊

  • @FrancoisHollande-gi4mk
    @FrancoisHollande-gi4mk 8 місяців тому

    Tian is an idiot.

  • @LaboriousCretin
    @LaboriousCretin 8 місяців тому

    You used a Penrose diagram but only for photonic and no fields boundaries/hyperfields and G-flows onto the boundary layer. You can fill that diagram out more with the boundary layers. QM and the last stable orbit of a electron in a specific energy density regime. CMB. Superfluidity of neutrinos condensing onto a boundary layer before melting as one neutrino type. The gluonic layer and melt factor, contributions to the neutrino layer and photonic reaction/defraction from the boundary layer if any. A ghost boojum made from neutrinos condensing onto a boundary layer before melting as one neutrino type. ( like the H3 boojum superfluidity but with neutrinos). The 4 solutions to a singularity. 1 you know. The hybridized particles that can be made in energy density regime's. The highest probability spots hawking radiation shows up at. ( gravitational waves and particle production in a density regime). The Q.C.D. showing one first neutrino type and contributions to polarization. The 2 types of string and 2 of quantum field theories that fit R=0. How R=0 is a future event that is censored in ways. The more you throw in the further the particle gets pushed forward in time at the center. The false infinites coming from how far forward in time you can push things. The universe another limit to that. Black holes being finite systems and the universe as a finite system and natural cutoff regime. The universe decayed out to photons and the size then, and calculating the next over probalistic universe. Yes you can calculate it also. You guys need to start with the types of solutions to R=0 false infinites or singularity anomalies. 1) pinched string,2) photonic virtually made particle, 3) quantum field theory and boundary layers, 4) QFT and string hybridized solutions, 5) normal Poincare solutions. 6) quantum tunneling recycling within energy density regime's, hyperlooping from G-flows and energy states. Black holes and the universe being finite systems with finite solution set's. Yes plural sets. Your stuck on one for reasons and need to analyze more. The future may be a infinite set, but black holes are finite and evaporate through hawking radiation and you can calculate the life span/time. Same with the universe. You can calculate when the last particle decays. When things become photonic and no normal matter left. Time losses any meaning. I.E. one type of end to the universe. That and size of the universe then. Gives a probabilistic to the next universe over and how many light years out/over. One of the solution sets to R=0 from gravitational collapse and degeneracy from neutron stars is a specific particle from the particle zoo. Caught splitting from one to 2 with photons surounding it all in a very specific way. GR,SGR,QM,QTF all solid. Q.C.D. seems to matter more as you get to the center and some fields melt/merge/degeneracy. Multiple solution set's to black holes and big bang. Though most people seem to be stuck with one type and no complete solution set for them yet when you get down to it. String failing to hit the universes cutoff regime and dimensional collapse or string collision/pop, or even brain layers colliding or being punched through and the universe as a natural cutoff. Or Q.F.T. as brain layers/field layers and F.T.L. in those field layers and polarization from Q.C.D.. The types of particles allowed in high energy density regime's. You all are clay mathematics and should be all over this stuff. Like thousands of times better than me. Yet I see everyone stuck on simple mind exorcizes. Black holes, finite, solved. Information and energy conserved. Everything mapable and accounted for. Finite system with finite solution set's. Shwartzschild for total mapping of particles and Kerr for flow and mixing and deformed topologies. Time dilation mapping and the g factor or being a factor of gamma. Langlands photonic periodicy and L functions and transformations. Prediction from a theory. Gravitational waves and quantum foam should have particle production density regime's for space. Gravitational super waves should exist. Particle production in space also depends on energy densities of the space. Where hawking radiation shows up or where particles can be produced in space with gravitational densities. Where what type of particle can live in a black hole. Q.M. probability in a energy density matrix. Thank you for the video, though please try to fix some of the flawed.😢 The universe can be used as a natural cutoff or sits in a natural cutoff regime. The virtual infinites ♾️ coming from the time distortion/dilation factor. Used as a natural cheat so they do not have to solve for the inner layers or R=0 solution set's. 😢 Neutrino condensing into a unique superfluid boojum and the deformed alice ring one can find comming off the one neutrino type left when melting in. 😮 Do the math. Look for yourself. C.N.B.( Cosmic neutrino background) showing the neutrino layer inside a black hole. C.M.B. showing another layer. Mapping will show multiple boundary layers. Hawking hairs and G-flows and hyper surfaces with boundary conditions with melt/degeneracy onto a field surface and the particles that can live through the field horizon. Particle in flow alongside particle production in energy density regime's and boundary layers. Mixing types and what is allowed where. You guys should be showing more. Digital mapping and renderings and the mathmatical models that go with the sets. How boundary layers can also act as censorship layers. Why is there no perfect dark crystal theory in string theories? When space/time close off into a perfect set of particles (crystal ized strings) restricted by it's own curvature and fields. (Degeneracy into a locked pocket particle bundle). Thank you again for sharing the lecture. Good luck in wonderland. 😊

  • @LaboriousCretin
    @LaboriousCretin 8 місяців тому

    Thank you for sharing this video. The color theory Q.C.D. to graph mapping problem. Reminds me of big bang mapping or black hole mapping. Also trying to make a snark graph Q.C.D. color theory mapping. The knot part should have had a mobius strip. Unique twisting states. Hopf fibrillations. Tweedle sets ( fast Fourier transformation ). % a factor of gamma. Fibonacci Q.C.D. mapping. Polymorphic shaps. I liked the video, but it seems like it could be updated. 😊

  • @LaboriousCretin
    @LaboriousCretin 8 місяців тому

    R=0 could be a virtual particle, but CERN also has a prime candidate in the particle zoo. Photon ring/sphere can make a virtual particle with specific features. The photons would make their own boundary layer. A real particle would have the photons stacked and spinning with the surface as it is deformed from splitting. Think neutron star collapse. R=0 solutions Black holes being finite systems just makes things be large numbers. Not infinite. Boundary layer's and fields. Where what particle species can live in which energy density regimes.

  • @LaboriousCretin
    @LaboriousCretin 8 місяців тому

    Nice talk on probably 🐈‍⬛️ ⚫️. Thank you for sharing. With black holes being finite systems. ( finite stuff in and finite life span. Hawking radiation) Black holes have solution set's. The inner most orbit a electron can live. Energy density regime's specific particles can form or live in. Families of particles restricted to energy regimes. The ghost boojum ( neutrino superfluidity like H3 superfluidity boojum). Neutrinos condensing/precipitate onto a boundary layer before melting as one neutrino type. Probably. Neutrino Q.C.D. color mixing. Fast Fourier tweedle sets. Alice ring, and alice strings. Snark graph theory. 😂 Hyper surfaces,boundaries,homogeneous fields. C.N.B. ( cosmic neutrino background) shows the neutrino layer inside a black hole. Just different perspectives of the same super fluid neutrinos at a energy density regime. Gluonic regime contributions as photons flow through. Quantum tunneling to lower energy states. Hawking radiation. Good luck in wonderland. ( mathed art is a annogram for mad hatter. )

  • @shreddaification
    @shreddaification 8 місяців тому

    Brilliantly communicated, thanks for sharing

  • @1330m
    @1330m 8 місяців тому

    After Iran Ukraine

  • @mrautistic2580
    @mrautistic2580 8 місяців тому

    43:23 Thanks for the wish of good luck!

  • @KremlinKantell
    @KremlinKantell 8 місяців тому

    I have watched as the Clay Mathermatical Institute has bedragled my daughter. The innocent soul I grew and knew is no more. I cannot mitigate this pain. I don't know what to do. Please, give me her back. I just want to hear her say "Mommy" again like the old days.

  • @KremlinKantell
    @KremlinKantell 8 місяців тому

    I didn't let my Woman do her thing. I dangled freedom over her; Allowed her to smell it, feel it, see it. I let the joy of freedom wash over and into her. I would look without expression into her eyes. Corrupting her love with a blank nothingness.

  • @spotshortmanipulators4721
    @spotshortmanipulators4721 9 місяців тому

    This Guy Represents The Catholic Church At The Time of Galileo Galilei...., Still A Few Decades Of Ignorance Ahead...

  • @DannyMaes
    @DannyMaes 9 місяців тому

    Hello, very interesting presentation of prime numbers through history. Is there a document available of this presentation?

  • @bappaichotu
    @bappaichotu 9 місяців тому

    Beautiful

  • @user-fv1jn3se9h
    @user-fv1jn3se9h 9 місяців тому

    😊

  • @shahenohanjanyan3545
    @shahenohanjanyan3545 9 місяців тому

    It's a shame we don't have this in higher quality, thank you so much for uploading this anyways!

  • @apusapus71
    @apusapus71 9 місяців тому

    Primes are not the 'building blocks' of anything. If you add 1 to an odd prime you get a composite. You can add 1 to a composite integer and get a prime. It is adding 1 that 'builds' numbers, if anything does. Every kindergarten child knows that! This guy is just another parrot repeating a metaphor without thought. Why are mathematicians so mindlessly imitative?

  • @proveitaoquintal
    @proveitaoquintal 9 місяців тому

    Instituto sem um email para entrar em contato isso é ridiculo como vou enviar minha tese

  • @joewebster903
    @joewebster903 9 місяців тому

    It shows that if you focus on a problem long enough and deep enough the solution become intuitive. She clearly deserves a place in history and a protective environment from the. Urgent chaos in Ukraine where other math talent continues to be victims of Putin’s genocide

  • @timjosling9298
    @timjosling9298 10 місяців тому

    Sound quality is terrible. Unlistenable.

  • @FrancoisHollande-gi4mk
    @FrancoisHollande-gi4mk 10 місяців тому

    Clair voisin is not a intellectual.

  • @benjievlogs7877
    @benjievlogs7877 10 місяців тому

    Hopefully before 21st century end, all millennium prize has been solved already so that 22nd century people will have to solve another problem😅