Even Galois Representations and the Fontaine-Mazur Conjecture

JOINT IAS/PU NUMBER THEORY SEMINAR
Topic:Even Galois Representations and the Fontaine-Mazur Conjecture
Speaker:Frank Calegari
Affiliation:Northwestern University
Date:Thursday, October 1
Time/Room:4:30pm - 5:30pm/Fine Hall -- 214

We prove, under mild hypotheses, there are no irreducible two-dimensional ordinary even Galois representations of the Galois group of Q with distinct Hodge-Tate weights, in accordance with the Fontaine-Mazur conjecture. We also show how this method can be applied to a related circle of problems.