International Centre for Theoretical Sciences Seminars

Automorphic forms and Galois representations (2/3)

by Prof. Chandrashekhar Khare (University of California Los Angeles)

Wednesday, November 5, 2014 from to (Asia/Kolkata)
at TIFR, Colaba Campus ( AG-66 )
Description Lecture 2: Automorphy lifting theorems

Abstract: This lecture will talk about a technique used in the proof of Serre's modularity conjecture. This technique, called modularity/automorphy lifting, was developed by Wiles in his proof of Fermat's Last Theorem. It allows one to go "backwards" from a Galois representation to a modular form. (The "forward" direction from modular forms to Galois representations was known earlier by the work of Eichler, Shimura, Deligne and Serre.) Its likelyto be a key tool in any attack on higher dimensional analogs of Serre's conjecture.

11.00 Tea/Coffee
11.30 Srinivasa Ramanujan Lecture