Local-Global Compatibility in the p-Adic Langlands Program for GL(2) over Q

GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS MINI-COURSE
Topic:Local-Global Compatibility in the p-Adic Langlands Program for GL(2) over Q
Speaker:Matthew Emerton
Affiliation:Northwestern University
Date:Tuesday, November 2
Time/Room:2:15pm - 3:15pm/West Bldg. Lecture Hall

I will outline the proof of various cases of the local-global compatibility statement alluded to in the title, and also explain its applications to the Fontaine—Mazur conjecture, and to a conjecture of Kisin.