Seminar Event Detail

Group, Lie and Number Theory

Date:  Monday, March 19, 2018
Location:  4088 East Hall (4:10 PM to 5:30 PM)

Title:  Lifting Galois representations with (somewhat) small image

Abstract:   A basic question in the spirit of Serre's modularity conjecture is when (or whether) a mod p Galois representation can be lifted to a geometric p-adic representation. Two basic techniques are available: the first comes from applying potential automorphy and automorphy lifting theorems, and gives the most robust results for Galois representations valued in certain classical groups; the second is a purely Galois-theoretic method, originally developed by Ravi Ramakrishna, that applies more readily to general groups. In this talk I will discuss some new techniques in the spirit of Ramakrishna's work. This is joint work with Najmuddin Fakhruddin and Chandrashekhar Khare.


Speaker:  Stefan Patrikis
Institution:  University of Utah

Event Organizer:   Wei Ho   


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