Quebec Mathematical Sciences Colloquium

April 5, 2013 from 16:00 to 18:00 (Montreal/Miami time) On location

Integral structures in p-adic representations

Colloquium presented by Ehud de Shalit (Hebrew University of Jerusalem)

Representation theory of p-adic Lie groups such as GL_2(F), where Fis a p-adic field, is central to many problems in number theory. The coefficients of these representations have been classically taken to be the complex numbers.Although it has been known for many years that p-adic representations of the same groups offer new exciting possibilities, their study has begun, in earnest,only recently. After a brief review of the p-adic numbers we shall explain why it is important to shift from complex representations to p-adic ones, and their relation to the “p-adicLanglands program”. We shall then concentrate on the BreuilSchneider conjecture

Address

UQAM, Pav. Sherbrooke, 200, rue Sherbrooke O., room SH-3420