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Number Theory Seminar: Carsten Peterson

Krieger 413 (Location and time changed!)

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 which the geodesic flow is ergodic. More recently, several authors have investigated quantum ergodicity for sequences of spaces which "converge" to their common universal cover […]

Automorphic forms learning seminar: Yiannis Sakellaridis

Krieger 413

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, both concrete and speculative.

Topology Seminar: Grigory Andreychev (IAS)

TBD

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 define K-theory in that context as the (continuous) K-theory of a certain dualizable stable infty-category associated to an analytic adic space (as opposed to previous […]

Number Theory Seminar: Thomas Hameister (University of Chicago)

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 will use two new techniques in invariant theory, the regular quotient and the parabolic cameral cover, in an effort to describe the geometry of such […]

Undergraduate Seminar: Kayla Wright (University of Minnesota)

Krieger 413

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 to classify certain symmetries in ancient art and architecture. In this talk, we will explore arrays of mathematical objects that obey these classified frieze pattern […]

Undergraduate Seminar: Xavier Ramos Olivé (Smith College)

Krieger 413

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 can play several notes using only one string. But what happens when we have surfaces or 3D objects that vibrate, like when playing a flute, […]

Analysis seminar: Fang Wang (Shanghai Jiao Tong University)

Krieger 411

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 Manifolds. These operators provide a bridge to transfer the information of interior Einstein geometry to the boundary conformal geometry. In this talk, I will first […]

Number Theory Seminar: A. Raghuram (Fordham University)

Maryland 201

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 group. Shimura called this cohomology group as parabolic cohomology. In the context of automorphic forms on higher groups, such a cohomology group takes the form […]

Topology Seminar: Rok Gregoric (JHU)

Maryland 110

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 this talk, we will discuss how this can be extended to a fully faithful embedding of condensed sets into fpqc sheaves over any base field. […]

Undergraduate Seminar: Suji Hong (Yale University)

Krieger 413

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 obtain another polytope kP. One of the properties P can have is the integer decomposition property: if x is a point in kP, then there […]