Arithmetic Geometry and Number Theory RTG Seminar: Endoscopic liftings without the trace formula

Seminar | April 16 | 3:10-5 p.m. | 748 Evans Hall

 Solomon Friedberg, Boston College

 Department of Mathematics

I discuss work with Cai, Ginzburg and Kaplan that allows us to establish liftings for spaces of automorphic forms (first proved by Arthur) without using the trace formula. The converse theorem has long been understood as an alternative to the trace formula for such liftings, but it requires information about Rankin-Selberg L-functions. Until recently it was not possible to obtain this information in general, but we are now able to do so.

Seminar Format: The seminar consists of two 50-minute talks, a pre-talk (3:10-4:00) and an advanced talk (4:10-5:00), with a 10-minute break (4:00-4:10) between them. The advanced talk is a regular formal presentation about recent research results to general audiences in arithmetic geometry and number theory; the pre-talk (3:10-4:00) is to introduce some prerequisites or background for the advanced talk to audiences consisting of graduate students.