Columbia Mathematics Department Colloquium

"The Fontaine-Mazur Conjecture and Modular forms"

by

Mark Kisin

(University of Chicago)

Abstract:

The Fontaine-Mazur conjecture describes which p-adic representations of the Galois
 group of Q ought to arise from algebraic geometry.  Combined with the conjectures of
Langlands, it predicts these representations should arise from automorphic forms.