Date & Time: Wednesday, September 17, 2014, 16:00-17:00.
Venue: Ramanujan Hall
Speaker: Baskar Balasubramanyam, IISER Pune
Title: Special values of adjoint L-functions and congruences between automorphic forms
Abstract: Let f and g be primitive cusp forms with Fourier coefficients a_n(f) and a_n(g). f and g are said to be congruent modulo a prime p if a_n(f) = a_n(g) mod p. I will give an overview of results that relate this phenomenon to the value at s=1 of a certain L-function attached to the cusp form f. I will then talk about my joint work with A. Raghuram that generalizes these results.