Poles of non-cuspidal Eisenstein series | ICTS

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Seminar
Speaker
Devadatta Hegde (Brandeis University, United States)
Date & Time
Wed, 01 January 2025, 11:30 to 13:00
Venue
Emmy Noether Seminar Room
Resources
Abstract

In this talk, we provide evidence that the poles of non-cuspidal Eisenstein series EP(s,φ) in the region Re(s)>0 are related to the highest weights occurring in the decomposition of the SL2(C) representation on Lie(ˆN) induced by the corresponding Arthur parameter, by determining the poles of the unramified degenerate Eisenstein series EP(s,φ=1) using a straightforward global argument.

Zoom link: https://icts-res-in.zoom.us/j/97987460111?pwd=Qg5YRj9mD7kdd6kbg2BfCjJuRGbpCt.1
Meeting ID: 979 8746 0111
Passcode: 010203