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

Speaker:
Matthew Emerton

Abstract:
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.

Link:
https://www.ias.edu/video/galois/emerton2