|JOINT IAS/PU NUMBER THEORY SEMINAR|
|Topic:||Even Galois Representations and the Fontaine-Mazur Conjecture|
|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.