Title: Quantum ergodicity on the Bruhat-Tits building for PGL(3, F) in the Benjamini-Schramm limit Abstract: Originally, quantum ergodicity concerned equidistribution properties of Laplacian eigenfunctions with large eigenvalue on manifolds for […]
Title: Introduction to the relative Langlands program, with open problems, IV.Abstract: This will be the fourth and last talk introducing the "relative" Langlands program, with a view towards open problems, […]
Title: Ways to write a positive integer into sums of positive integers Abstract: Take a positive integer, say 4; we can write it as a sum of positive integers in […]
Title: K-Theory of Adic SpacesAbstract: We will explain a new approach to the K-theory of analytic adic spaces via condensed mathematics. Its main advantage is that it allows us to […]
Title: The Geometry of the Hitchin Fibration for Symmetric Spaces Abstract: Motivated by questions in relative Langlands and relative endoscopy, we study generalized Hitchin systems associated to symmetric spaces. We […]
Title: Frieze Patterns Abstract: As we are in the midst of a cold, dark winter... there is no better time to learn about frieze patterns. Frieze patterns were first defined by mathematicians […]
Title: The role of curvature in the production of sound: Music, Geometry and BeyondAbstract: When a string vibrates, it produces different pitches depending on its length. This is how guitarists […]
Title: Recent Progress on Fractional GJMS OperatorsAbstract: The Fractional GJMS operators are one-parameter family of conformally invariant operators, defined by the renormalized scattering operators on the conformal infinity of Poincare-Einstein […]
Title: Equivariant birational geometry.Abstract: I will discuss new invariants of actions of finite groups on algebraic varieties and their applications (joint with A. Kresch, I. Cheltsov and Zh. Zhang).
Title: Why do cusp forms exist? Abstract: I will begin this talk by reviewing the Eichler-Shimura isomorphism between the space of cusp forms of weight k and level N, and a certain cohomology […]
Title: Stone duality between condensed mathematics and algebraic geometry Abstract: One classical incarnation of Stone duality is an anti-equivalence between the categories of profinite sets and Boolean algebras respectively. In […]
Title: Integer Decomposition Property of lattice polytopes Abstract: Given a polytope (higher dimensional polygon) P and a non-negative integer k, we can multiply every point of P by k to […]