Emerton’s Functor of Ordinary Parts

Abstract: Emerton's Ordinary Parts functor $Ord$ plays an important role in the theory of mod $p$ representations of $p$-adic reductive groups. The right derived functors of $Ord$ are conjectured by Emerton to be given in terms of group cohomology. In this talk I will discuss a proof of a variant of this conjecture. A key step in this proof is a comparison between certain compact and parabolic inductions which I will explain for an example. This is based on joint work with Manuel Hoff and Michael Spieß.

algebraic geometrynumber theoryrepresentation theory

Audience: researchers in the topic

Canadian Rockies Representation Theory

Series comments: Topics include, but are not limited to, geometric and categorical aspects of the Langlands Programme. Please write to Jose Cruz for zoom instructions.