Title: The Drinfeld and Quillen formal groupsAbstract: The Cartier–Witt stack, introduced recently by Drinfeld and Bhatt–Lurie, is a geometric object whose quasicoherent sheaves provide a natural target category for prismatic […]
Title: Test ideals in mixed characteristic via the p-adic Riemann-Hilbert correspondence.Abstract: Multiplier ideals in characteristic zero and test ideals in positive characteristic are fundamental objects in the study of commutative algebra and […]
Title: The (oo,2)-category of internal (oo,1)-categories Abstract: Results which concern the classification of parametrized structures over a given base by means of internal constructions within that base are fairly ubiquitous in […]
Title: Rigid inner forms and the Bernstein decomposition for L-parametersAbstract: The purpose of this talk is to explain the construction of the Bernstein decomposition for enhanced L-parameters (first introduced by Aubert-Moussaoui-Solleveld using Arthur’s […]
Title: Introduction to the relative Langlands program, with open problems, III.Abstract: This will be the third (and probably last) of a few talks introducing the "relative" Langlands program, with a […]
Title: Exodromy beyond conicality Abstract: Let (X, P) be a stratified space. The most general version of the exodromy equivalence between constructible sheaves on (X, P) and functors out of the […]
Title: How to invent pyknotic/condensed mathematics
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 […]