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Institute for Pure & Applied Mathematics (IPAM)
United States
Приєднався 19 сер 2013
The Institute for Pure and Applied Mathematics (IPAM) is a National Science Foundation Math Institute at the University of California, Los Angeles (UCLA) that fosters the interaction of mathematics with a broad range of science and technology, builds new interdisciplinary research communities, promotes mathematical innovation, and engages and transforms the world through mathematics. IPAM fulfills its mission through workshops and programs that connect mathematics and other disciplines or multiple areas of mathematics. These activities bring in thousands of visitors annually from academia, government, and industry.
The NSF has encouraged IPAM to make the scientific presentations of our speakers available to a wider audience. While this UA-cam channel contains many of our most popular videos, our full video archive is available at www.ipam.ucla.edu/videos.
The NSF has encouraged IPAM to make the scientific presentations of our speakers available to a wider audience. While this UA-cam channel contains many of our most popular videos, our full video archive is available at www.ipam.ucla.edu/videos.
Michael Wheeler - A vertex model proof of a correspondence due to Imamura--Mucciconi--Sasamoto
Recorded 24 May 2024. Michael Wheeler of the University of Melbourne presents "A vertex model proof of a correspondence due to Imamura--Mucciconi--Sasamoto" at IPAM's Vertex Models: Algebraic and Probabilistic Aspects of Universality Workshop.
Abstract: The q-Whittaker polynomials are a one-parameter generalization of Schur polynomials, with many nice combinatorial properties. It has been known for quite a few years that they admit two different formulas as partition functions of vertex models: one as a partition function of coloured lattice paths on a cylinder, and the other as a partition function of colourless lattice paths in the plane.
In this talk I will explain where this correspondence comes from, and how when it is specialized appropriately, yields a vertex model proof of a match between q-Whittaker and periodic Schur measures, originally obtained by Imamura, Mucciconi and Sasamoto.
This is based on a joint work arxiv.org/abs/2310.03527 with Jimmy He.
Learn more online at: www.ipam.ucla.edu/programs/workshops/workshop-iv-vertex-models-algebraic-and-probabilistic-aspects-of-universality/
Abstract: The q-Whittaker polynomials are a one-parameter generalization of Schur polynomials, with many nice combinatorial properties. It has been known for quite a few years that they admit two different formulas as partition functions of vertex models: one as a partition function of coloured lattice paths on a cylinder, and the other as a partition function of colourless lattice paths in the plane.
In this talk I will explain where this correspondence comes from, and how when it is specialized appropriately, yields a vertex model proof of a match between q-Whittaker and periodic Schur measures, originally obtained by Imamura, Mucciconi and Sasamoto.
This is based on a joint work arxiv.org/abs/2310.03527 with Jimmy He.
Learn more online at: www.ipam.ucla.edu/programs/workshops/workshop-iv-vertex-models-algebraic-and-probabilistic-aspects-of-universality/
Переглядів: 237
Відео
Ivan Corwin - Scaling limit of colored ASEP - IPAM at UCLA
Переглядів 19821 день тому
Recorded 24 May 2024. Ivan Corwin of Columbia University presents "Scaling limit of colored ASEP" at IPAM's Vertex Models: Algebraic and Probabilistic Aspects of Universality Workshop. Abstract: Each site x in Z is initially occupied by a particle of color -x. Across each bond (x,x 1) particles swap places at rate 1 or q 1 depending on whether they are in reverse order (e.g. color 2 then 1) or ...
Richard Kenyon - On the higher-rank dimer model - IPAM at UCLA
Переглядів 13821 день тому
Recorded 24 May 2024. Richard Kenyon of Yale University presents "On the higher-rank dimer model" at IPAM's Vertex Models: Algebraic and Probabilistic Aspects of Universality Workshop. Abstract: On a planar bipartite graph with a GL(n) local system, we define an associated Kasteleyn operator and show that its determinant counts traces of “n-multiwebs”, which are combinatorial objects generalizi...
Daniel Remenik - Solving PNG - IPAM at UCLA
Переглядів 10821 день тому
Recorded 24 May 2024. Daniel Remenik of the Universidad de Chile presents "Solving PNG" at IPAM's Vertex Models: Algebraic and Probabilistic Aspects of Universality Workshop. Abstract: The polynuclear growth model (PNG) is a model for crystal growth in one dimension. It is one of the most basic models in the KPZ universality class, and in the droplet geometry it can be recast in terms of a Pois...
Jacopo Borga - On the geometry of uniform meandric systems - IPAM at UCLA
Переглядів 17021 день тому
Recorded 23 May 2024. Jacopo Borga of Stanford University presents "On the geometry of uniform meandric systems" at IPAM's Vertex Models: Algebraic and Probabilistic Aspects of Universality Workshop. Abstract: In 1912, Henri Poincaré asked the following simple question: “In how many different ways can a simple loop in the plane, called a meander, cross a line a specified number of times?” Despi...
Jeffrey Kuan - Universality of dynamic processes using Drinfel'd twisters - IPAM at UCLA
Переглядів 21021 день тому
Recorded 23 May 2024. Jeffrey Kuan of Texas A&M University - College Station presents "Universality of dynamic processes using Drinfel'd twisters" at IPAM's Vertex Models: Algebraic and Probabilistic Aspects of Universality Workshop. Abstract: The concept of 'universality' motivates a wide variety of probability and mathematical physics problems, going back to the classical central limit theore...
Harini Desiraju - Elliptic orthogonal polynomials and their integrability - IPAM at UCLA
Переглядів 16721 день тому
Recorded 23 May 2024. Harini Desiraju of the Sydney Mathematical Research Institute, University of Sydney, presents "Elliptic orthogonal polynomials and their integrability" at IPAM's Vertex Models: Algebraic and Probabilistic Aspects of Universality Workshop. Abstract: Elliptic orthogonal polynomials are a family of special functions that satisfy certain orthogonality condition with respect to...
Tomohiro Sasamoto - Skew RSK dynamics - IPAM at UCLA
Переглядів 10821 день тому
Recorded 23 May 2024. Tomohiro Sasamoto of the Tokyo Institute of Technology presents "Skew RSK dynamics" at IPAM's Vertex Models: Algebraic and Probabilistic Aspects of Universality Workshop. Abstract: In [1] we introduced the skew RSK dynamics, which is a time evolution for a pair of skew Young tableaux (P,Q). This gives a connection between the q-Whittaker measure and the periodic Schur meas...
Jesper Jacobsen - Exact three- and four-point correlation functions in O(n) and Potts loop models
Переглядів 11221 день тому
Recorded 22 May 2024. Jesper Jacobsen of the École Normale Supérieure presents "Exact three- and four-point correlation functions in the O(n) and Potts loop models" at IPAM's Vertex Models: Algebraic and Probabilistic Aspects of Universality Workshop. Abstract: We give an overview of our recent work on geometrically defined bulk correlators in two-dimensional conformally invariant loop models. ...
Istvan Prause - Limit shapes of non-intersecting Brownian bridges via harmonic envelope
Переглядів 7321 день тому
Recorded 22 May 2024. Istvan Prause of the University of Eastern Finland presents "Limit shapes of non-intersecting Brownian bridges via harmonic envelope" at IPAM's Vertex Models: Algebraic and Probabilistic Aspects of Universality Workshop. Abstract: Non-intersecting Brownian bridges develop macroscopic limit shapes under given initial and terminal particle distribution. An example for this i...
David Keating - Stochastic Box-Ball System - IPAM at UCLA
Переглядів 6421 день тому
Recorded 22 May 2024. David Keating of the University of Wisconsin-Madison presents "Stochastic Box-Ball System" at IPAM's Vertex Models: Algebraic and Probabilistic Aspects of Universality Workshop. Abstract: The box-ball system is a deterministic discrete-time dynamical system introduced by Takahashi and Satsuma. At each natural number suppose there is a box that can either hold a single ball...
Hugo Duminil Copin - Rotational invariance of planar random cluster models... and beyond?
Переглядів 26821 день тому
Recorded 22 May 2024. Hugo Duminil-Copin of The University of Geneva presents "Rotational invariance of planar random cluster models... and beyond?" at IPAM's Vertex Models: Algebraic and Probabilistic Aspects of Universality Workshop. Abstract: Several years ago, Grimmett and Manolescu introduced an innovative technique that proved instrumental in establishing the universality of critical expo...
Hugo Duminil-Copin - Critical phenomena through the lens of the Ising model - Green Family Lecture
Переглядів 34821 день тому
Recorded 21 May 2024 at the Mong Auditorium. Hugo Duminil-Copin of the The University of Geneva presents "Critical phenomena through the lens of the Ising model" at IPAM's Vertex Models: Algebraic and Probabilistic Aspects of Universality Workshop. Abstract: The Ising model is one of the most classical lattice models of statistical physics undergoing a phase transition. Initially imagined as a ...
Vadim Gorin - Six-vertex model in the rare corners regime - IPAM at UCLA
Переглядів 9921 день тому
Recorded 21 May 2024. Vadim Gorin of the University of California, Berkeley, presents "Six-vertex model in the rare corners regime" at IPAM's Vertex Models: Algebraic and Probabilistic Aspects of Universality Workshop. Abstract: The limit shapes for the height function in the celebrated six-vertex model are still unknown in general situations. However, we recently found ways to compute them in ...
Promit Ghosal - Tail probabilities of the stochastic six vertex model - IPAM at UCLA
Переглядів 16021 день тому
Recorded 21 May 2024. Promit Ghosal of Brandeis University presents "Tail probabilities of the stochastic six vertex model" at IPAM's Vertex Models: Algebraic and Probabilistic Aspects of Universality Workshop. Abstract: We explore the tail probabilities of stochastic six-vertex models using the q-moments formula of their height function. Borodin and Olshanski (2016) established an identity lin...
Wioletta Ruszel - Fermionic Gaussian free field and connections to random lattice models
Переглядів 13321 день тому
Wioletta Ruszel - Fermionic Gaussian free field and connections to random lattice models
Sasha Garbali - Shuffle algebras, lattice paths and Macdonald functions - IPAM at UCLA
Переглядів 13521 день тому
Sasha Garbali - Shuffle algebras, lattice paths and Macdonald functions - IPAM at UCLA
Philippe Di Francesco - Arctic curves for vertex models - IPAM at UCLA
Переглядів 9721 день тому
Philippe Di Francesco - Arctic curves for vertex models - IPAM at UCLA
Leonid Petrov - Vertex model integrability for stochastic particle systems - IPAM at UCLA
Переглядів 19921 день тому
Leonid Petrov - Vertex model integrability for stochastic particle systems - IPAM at UCLA
Marianna Russkikh - Perfect t-embedding of uniformly weighted hexagon - IPAM at UCLA
Переглядів 13721 день тому
Marianna Russkikh - Perfect t-embedding of uniformly weighted hexagon - IPAM at UCLA
Filippo Colomo - Frozen boundaries and their fluctuations in the square-ice model - IPAM at UCLA
Переглядів 10321 день тому
Filippo Colomo - Frozen boundaries and their fluctuations in the square-ice model - IPAM at UCLA
Alexei Borodinof - Geometry of dimer models - IPAM at UCLA
Переглядів 24121 день тому
Alexei Borodinof - Geometry of dimer models - IPAM at UCLA
Christopher Hoffman - The density conjecture for activated random walk - IPAM at UCLA
Переглядів 178Місяць тому
Christopher Hoffman - The density conjecture for activated random walk - IPAM at UCLA
Robin Tucker-Drob - Radon-Nikodym topography of amenable equivalence relations in an acyclic graph
Переглядів 86Місяць тому
Robin Tucker-Drob - Radon-Nikodym topography of amenable equivalence relations in an acyclic graph
Omer Angel - Interacting Polya urns - IPAM at UCLA
Переглядів 176Місяць тому
Omer Angel - Interacting Polya urns - IPAM at UCLA
Reza Gheissari - Spectral gap estimates for the random field Ising model - IPAM at UCLA
Переглядів 153Місяць тому
Reza Gheissari - Spectral gap estimates for the random field Ising model - IPAM at UCLA
Catherine Wolfram - Dimers in 3D - IPAM at UCLA
Переглядів 207Місяць тому
Catherine Wolfram - Dimers in 3D - IPAM at UCLA
Lily Reeves - Distances in hierarchical percolation - IPAM at UCLA
Переглядів 657Місяць тому
Lily Reeves - Distances in hierarchical percolation - IPAM at UCLA
Ron Peled - Minimal Surfaces in Random Environment - IPAM at UCLA
Переглядів 156Місяць тому
Ron Peled - Minimal Surfaces in Random Environment - IPAM at UCLA
Alan Hammond - Stability and chaos in dynamical last passage percolation - IPAM at UCLA
Переглядів 108Місяць тому
Alan Hammond - Stability and chaos in dynamical last passage percolation - IPAM at UCLA
Such a nice and inspirational talk!
Fantastic! Exactly what I needed!
how you calculate the local error at 6:44 3*15+1=16
Sorry to say but the way of explanation is very poor, but the topic was very important for beginner.
I want to join mathematics
Awesome presentation!
Great Hugo
Great talk Yuval! I have a question though about one part of the presentation. For proof idea 1, I'm not sure why the event that the d-rigidity closure of our random graph is 'small' is contained within the event that at most dn-((d+1) choose 2) of the r_i's are larger than alpha. The part I'm struggling to understand is the 'containment' of the former event in the latter. Any help would be appreciated. Thanks!
You should ask him directly. IPAM's speakers almost never go back and answer UA-cam questions. Sorry. (RB)
@@IPAMUCLA Oh no problem, thanks for letting me know RB. I'll send Yuval an email then. PS: I'm looking forward to giving my own talks at these events one day.
Thank you for share!
A very interesting talk, thank you!
Fantastic presentation. Thanks Josh!
Incredible presentation
Amazing lecture
thank you for give opencourse, this very useful for me cannot go to university.
Absolute gem of a video!!
Showing videos off medication followed by on medication is ridiculous. Can we not follow the basic rules of science please?
That is great!
Superb ❤
Excelent performance, only that her accents is irritating
Why is it better than surrogate based optimization?
i love the exposition from water ice to a linear representation. makes the talk so much easier to bite into.
This subject is not easy for me, so thank you very much for these explanations.
I really enjoyed this, thanks for uploading it! Just to note, it was very hard to find this video! XD
Very interesting!
thx for explanation
Thank you for amazing lecture
So he says 1trln qubits but writes 1bln. Which one? Also, physical or logic qubits?
Coq, Lean, & Agdq are the holy trinity of Formal proof assistant!
Type coercion is much less cruel han any oyher type of coercion!
The West coast is tne one that I call home! "Invisible Mathematics that seems very valuable to me!
Thanks to the author for the excellent work. How to implement batch processing of neural NMF?
wiggle stereoscopy
This is a much better Focus for Science and Far More Important than spending money on Particle Physics, Dark Mater, Dark Energy or String Theory!
I wouldn't say that. Knowledge gained form advancements of these fields may also be of great use to us. We do gain technological advancements from a lot of knowledge generated there. Besides, unraveling the mysteries of the universe to get answers to fundamental human questions (Where do we come from, how was the universe created, what is life/consciousness, etc. etc.) is what drives our species since ancient times. Its why so many different religions and stuff was invented, because without answers these questions keep people awake at night. Not to forget that IF Penrose & Hameroff are actually right in with their presumptions in the Orch OR model, research in these fields could also immensly contribute to our understanding of consciousness.
Very interesting!
This woman doesn't know what she is talking about.
lmaoooo. (0,1) oh, (1,∞)? nbd. ℵ₁ = 2ᴺ◦ i love maths.
This talk slaps!
not a good lecture. what is the point of all of this? its like someone reciting a textbook outloud. giving a real lecture is something different, this is waste of time
cool 🏹
Amazing presentation! Congratulations!
Such an informative introduction to e3nn! Thank you. Tess!
how to use any arbitrary metric , which means how to write my metric and do the calculations
Thanks.
Where is the motivation for the Logistic regression ?
Thanks.
He’s the goat. Never met a more knowledgeable guy! I’m looking forward to the future!! I hope his son can fix his act and be more like him!!!
Why would you say " and then over some amount of time they, without any instructions from outside, they spontaneously self-assembled a creature that has sophisticated cognition and first person perspective, and all these things." Have you not heard of Darwin? Obviously this did not spontaneously self-assemble. That is completely ridiculous and you should be careful not to make statements like that.
Fu 老师好
Great explanation. Thank you
Thanks for the video.