Title: Solid locally analytic representations Abstract: I will discuss common work with Joaquin Rodrigues Jacinto about new foundations for representation theory of p-adic Lie groups using condensed mathematics. I will […]
Title: Unipotent homotopy theory of schemes.Abstract: In this talk, I will present a notion of unipotent homotopy theory for schemes, which is based on Toen's work on affine stacks. I will discuss […]
Title: Analytic de Rham stack Abstract: In this talk I will present a new geometric construction in analytic geometry that encodes different theories of analytic D-modules, analogous to the classical […]
Title: Introduction to the relative Langlands program, with open problems, II.Abstract: This will be the second of a few talks introducing the "relative" Langlands program, with a view towards open […]
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 […]