| 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.