School of Mathematics Seminars and Lectures
Arithmetic of automorphic L-functions
by Prof. Raghuram A (Oklahoma State University, USA)
Friday, August 5, 2011
from
to
(Asia/Kolkata)
at Colaba Campus ( AG-77 )
at Colaba Campus ( AG-77 )
Description |
This is in continuation of my first talk on the same topic. In this talk, I will present my recent work with Harald Grobnet on the special values of L-functions for GL(2n) over a totally real number field F. Here the periods arise via a comparison of rational structures on Shalika models (if there is one at hand) and top-degree cuspidal cohomology. Results on L-values will follow by giving a cohomological interpretation to certain zeta-integrals of Friedberg and Jacquet. Time and mood permitting, I will discuss the implications for classical L-functions like symmetric power L-functions oof a modular form, or the degree four `Spinor' L-function of a genus-twi Siegel modular form. (Pre-requisites: First talk ! If F=Q and n=1, the situation is exactly as in the first talk.) |