Back to Departmental Colloquium: Fall 2009
Departmental Colloquium
Date: Thursday, Dec 3, 2009
Time: 4:15PM
Location: JWB 335
Florian Herzig
Northwestern University
Title |
Modular representations of p-adic groups |
Abstract |
The Langlands program relates complex representations of GL_n(Q_p) to Galois representations. For n = 1 this is explained by class field theory and for n = 2 this is closely related to the theory of modular forms. For general n, this is now understood by the work of Harris-Taylor and Henniart. In the last decade, a mod-p (as well as a p-adic) version of the Langlands program have been emerging, and they have already played an important role in some recent progress in number theory. But so far understanding has been limited to n = 1 and 2. We survey some of the known story in the classical and in the mod p case, and then discuss some recent progress on the classification of mod p representations of GL_n(Q_p), as time permits. |
Number Theory
Representation Theory