Title: On the vanishing of Selmer groups for odd orthogonal Galois representations Abstract: Let $pi$ be a cuspidal automorphic representation of $Sp_2n$ over $mathbb{Q}$ which is holomorphic discrete series at […]
Title: Introduction to the relative Langlands program, with open problems, I.Abstract: This will be the first of a few talks introducing the "relative" Langlands program, with a view towards open […]
Title: Automorphic forms, motives and periods Abstract: I shall try to give an overview of parts of the Langlands program in a way that suggests future directions and applications. Among […]
Title: THH(Z) and the image of JAbstract: I will try to overview some ideas from chromatic homotopy theory, including the "redshift" and "blueshift" phenomena therein, and then describe a result, […]
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 […]