From Representations of P-Adic Groups to Congruences of Automorphic Forms

From Representations of P-Adic Groups to Congruences of Automorphic Forms

Explore a lecture on the connections between p-adic group representations and automorphic form congruences. Delve into the Global Language Correspondence, Algebraic Automorphic Forms, and the theory of types as presented by Jessica Fintzen from Duke University and the University of Cambridge. Examine general representations, compact open subgroups, and the construction of theoretical data. Gain insights into the omni supercast concept and its examples. Follow the exhaustion proof and understand its implications in this advanced mathematical discourse, part of the 2021 Fields Medal Symposium honoring Peter Scholze.