Finiteness Properties of Mod ℓ-Representations of a Reductive p-adic Group Around the Identity

Explore the finiteness properties of mod ℓ-representations of reductive p-adic groups in this advanced mathematics lecture delivered by Marie-France Vigneras from Université de Paris at the Fields Institute. Delve into the sophisticated mathematical framework surrounding the behavior of these representations around the identity element, examining key theoretical concepts and properties that govern their finite characteristics. Gain insights into the intersection of representation theory and p-adic analysis as the speaker presents research findings and theoretical developments in this specialized area of algebraic number theory and representation theory.