Back to Departmental Colloquium: Fall 2012
Departmental Colloquium
Date: Thursday, Sep 27, 2012
Time: 4:15PM
Location: JWB 335
Mark Reeder
Boston College
Title |
Geometric Invariant Theory and epipelagic representations of p-adic groups |
Abstract |
Geometric Invariant Theory (GIT) is the study of orbits of algebraic groups acting on vector spaces. Such actions arise in the “epipelagic zones” of a reductive p-adic group. Besides explaining the previous sentence, I will show how the GIT of epipelagic zones leads to new constructions of representations of p-adic algebraic groups. Such constructions lead, via the conjectural Local Langlands correspondence, to verifiable predictions relating p-adic Galois theory to complex simple Lie algebras, which otherwise appear to be completely different areas of mathematics. |
Number Theory
Representation Theory