Automorphic forms and Galois representations (2/3)
by
Prof.Chandrashekhar Khare(University of California Los Angeles)
→
Asia/Kolkata
AG-66 (TIFR, Colaba Campus)
AG-66
TIFR, Colaba Campus
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.
