The singularity probability of random symmetric matrices
Abstract: Let M_n be drawn uniformly from all n by n symmetric matrices with entries in {-1,1}. In this talk I’ll consider the following basic question: what is the probability that […]
Abstract: Let M_n be drawn uniformly from all n by n symmetric matrices with entries in {-1,1}. In this talk I’ll consider the following basic question: what is the probability that […]
Speaker: Maria Chudnovsky, Princeton Title: Induced subgraphs and tree decompositions Abstract: Tree decompositions are a powerful tool in both structural graph theory and graph algorithms. Many hard problems become tractable if the […]
Speaker: Fei Yan (Rutgers) Title: Defects, link invariants and exact WKB Abstract: I will describe some of my recent work on defects in supersymmetric field theories. The first part of my talk […]
https://youtu.be/soqWNyrdjkw Speaker: Piotr Nawrot, University of Warsaw Title: Hierarchical Transformers are More Efficient Language Models Abstract: Transformer models yield impressive results on many NLP and sequence modeling tasks. Remarkably, Transformers can […]
Karen Uhlenbeck (Institute for Advanced Study) Title: The Noether Theorems in Geometry: Then and Now Abstract: The 1918 Noether theorems were a product of the general search for energy and […]
Title: Numerical Higher Dimensional Geometry Abstract: In 1977, Yau proved that a Kahler manifold with zero first Chern class admits a Ricci flat metric, which is uniquely determined by certain “moduli” data. […]
Member Seminar Speaker: Changji Xu Title: On the solution space of the Ising perceptron model Abstract: Consider the discrete cube $\{-1,1\}^N$ and a random collection of half spaces which includes each […]
Speaker: Lukasz Fidkowski (U Washington) Title: Gravitational anomaly of 3 + 1 dimensional Z2 toric code with fermionic charges and ferionic loop self-statistics Abstract: Quasiparticle excitations in 3 + 1 dimensions can […]
Abstract: A long-standing problem in random graph theory has been to determine asymptotically the length of a longest induced path in sparse random graphs. Independent work of Luczak and Suen from […]
Speaker: Constantin Teleman (UC Berkeley) Title: The Kapustin-Rozanski-Saulina “2-category” of a holomorphic integrable system Abstract: I will present a construction of the object in the title which, applied to the classical Toda […]
https://youtu.be/wKCgR3aFpnc Speaker: Anurag Anshu, Department of EECS & Challenge Institute for Quantum Computation, UC Berkeley Title: Unreasonable effectiveness of the quantum complexity view on quantum many-body physics Abstract: A central challenge […]
Abstract: We construct counterexamples to the local existence of low-regularity solutions to elastic wave equations and to the ideal compressible magnetohydrodynamics (MHD) system in three spatial dimensions (3D). Inspired by the […]