Logo

Mathematical Sciences Research Institute

Home » MSRI Evans Talk: Representation theory and arithmetic invariants

Seminar

MSRI Evans Talk: Representation theory and arithmetic invariants October 27, 2014 (04:10 PM PDT - 05:00 PM PDT)
Parent Program: New Geometric Methods in Number Theory and Automorphic Forms
Location: 60 Evans Hall, UC Berkeley
Speaker(s) Atsushi Ichino (Kyoto University)
Description No Description

Video
No Video Uploaded
Abstract/Media

The local Langlands correspondence (conjecture) relates (infinite-dimensional) representations of p-adic reductive groups with (finite-dimensional) Galois representations. This can be viewed in many ways, and from the viewpoint of the representation theory, this gives us a "classification" of representations of p-adic reductive groups by viewing arithmetic objects as "simpler" parameters. Then it will be natural to study representation-theoretic problems in terms of arithmetic invariants. In this talk, we explain some cases which can be answered in this setup: the Gan-Gross-Prasad conjecture (a restriction problem) and formal degrees (a generalization of dimensions).

No Notes/Supplements Uploaded No Video Files Uploaded