Seminars & Colloquia Calendar
Eisenstein Series on Arithmetic Quotients of Rank 2 Kac--Moody Groups Over Finite Fields
Abid Ali, Rutgers University
Location: Zoom
Date & time: Friday, 30 April 2021 at 12:00PM - 1:00PM
Abstract Let G be a rank 2 Kac-Moody group over a finite field. The group G comes equipped with a data (X, K), where X is the Tits building of G and K is the standard parabolic subgroup of the negative BN-pair. By using this data and the Iwasawa decomposition of G, we define Eisenstein series on the quotient graph KX, which is induced by a character defined on the set of vertices of X.
In this seminar, I will discuss this Eisenstein series, its convergence and meromorphic continuation.
This is a joint work with Lisa Carbone (Rutgers), Kyu-Hawn Lee (UConn) and Dongwen Liu (Zhejiang) (With an appendix by Paul Garrett (UMN)).
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