Number Theory Seminar

Speaker: Didier Lesesvre (Sun Yat-Sen University) (note the unusual time!)

Title: Quadratic twists of central values: An introduction to multiple Dirichlet series

Abstract: Automorphic representations are central objects in number theory. One typical approach is to associate to them functions encapsulating much information: their L-functions. Knowing how far these functions characterize the original automorphic representation is then a natural question, and knowing results about zeros or non-vanishing of these L-functions are critical for applications.
In this talk, I will be addressing these questions in the case of GL(3), presenting a joint work with Chan Ieong Kuan. The proofs are archetypical of the theory of multiple Dirichlet series, its motivation and its challenges, so this talk could be viewed as an introduction to this beautiful topic based on an example.

The talk will take place on Zoom. If you would like to receive the Zoom link and are not part of our current NT Seminar mailing list, please contact the organizer.