9/21/2005

Mark Kisin
University of Chicago

Modularity and the Breuil-Mezard conjecture

I will explain some new results towards the Fontaine-Mazur conjecture on modularity of 2-dimensional Galois representations. It turns out that there is an intimate connection between this conjecture, the Breuil-Mezard conjecture, and the emerging p-adic local Langlands program initiated by Breuil.