International Centre for Theoretical Sciences Seminars

Automorphic forms and Galois representations (3/3)

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

Friday, November 7, 2014 from to (Asia/Kolkata)
at TIFR, Colaba Campus ( AG-66 )
Description Lecture 3: Dimensions of deformation rings and generic unobstructedness

Abstract: This lecture will talk about deformation rings of Galois representations as defined by Barry Mazur. Their spectra are moduli spaces of Galois representations. These moduli spaces provides a context for the study of a classical conjecture of Leopoldt. I will indicate how automorphy lifting techniques give rather complete information about these moduli spaces in the self-dual case, while in the non-self-dual case, the corresponding moduli spaces are still shrouded in mystery. It is the latter case which is relevant to Leopoldt's conjecture which postulates a dimension formula for these spaces.

11.00 Tea/Coffee
11.30 Srinivasa Ramanujan Lecture