Joint IAS/Princeton University Number Theory Seminar

Even Galois Representations and the Fontaine-Mazur conjecture

Fontaine and Mazur have a remarkable conjecture that predicts which (p-adic) Galois representations arise from geometry. In the special case of two dimensional representations with distinct Hodge-Tate weights, they further conjecture that these "geometric" representations are also modular. Kisin has proven this conjecture in almost all cases under the assumption that the action of complex conjugation has determinant -1. We remove this restriction. In the case of even Galois representations, this generalizes previous work in which the representation was assumed to be ordinary.

Date & Time

October 14, 2010 | 4:30pm – 5:30pm

Location

S-101

Speakers

Frank Calegari

Affiliation

Northwestern University; Member, School of Mathematics

Event Series

Categories