Eisenstein Series on Loop Groups and their Metaplectic Covers

Seminar: 
Colloquium
Event time: 
Wednesday, November 20, 2019 - 4:15pm
Location: 
LOM 215
Speaker: 
Manish Patnaik
Speaker affiliation: 
University of Alberta
Event description: 

Both the Langlands-Shahidi method of studying automorphic L-functions and approach via the theory of Weyl group multiple Dirichlet series to studying moments of L-functions now require new classes of groups with which to work.   In this talk, I will explain our progress (mostly in the function field setting) on extending these techniques to certain infinite-dimensional Kac-Moody groups, namely loop groups and their metaplectic covers.  Of note is the presence of two quite different types of Eisenstein series that exisist on the same group and which need to be considered in conjunction with one other.

This is a report on a joint work in progress with H. Garland, S. D. Miller and A. Puskas.