Tsinghua Icon Number Theory Group at Tsinghua University

Quadratic twists of central L-values for automorphic representations of GL(3)

Time: Thu, 23 May 2019, 13:30-15:05

Place: First conference room at Jinchunyuan West Building (近春园西楼)

Speaker: Didier Lesesvre (Sun Yat-Sen University)

Abstract:

A cuspidal automorphic representations of GL(3) over a number field, submitted to mild extra assumptions, is determined by the quadratic twists of its central L-values. Beyond the result itself, its proof is an archetypical argument in the world of multiple Dirichlet series, and therefore a perfect excuse to introduce these objects in this talk.