The Twisted Weighted Fundamental Lemma for the Transfer of Automorphic Forms from GSp(4) to GL(4)

Author: Whitehouse, David

Year: 2005

Degree: Dissertation (Ph.D.)

Advisor: Ramakrishnan, Dinakar

Committee Members: Ramakrishnan, Dinakar; Oh, Hee; Flach, Matthias; Dimitrov, Mladen

Option: Mathematics

DOI: 10.7907/26W7-8M37

Abstract

We prove the twisted weighted fundamental lemma for the group GL(4) x GL(1) relative to a certain outer automorphism α, which yields GSp(4) as a twisted endoscopic group. This version of the fundamental lemma is needed to stabilize the twisted trace formula for the pair (GL(4) xGL(1),α). This stabilized twisted trace formula is required for Arthur's classification of the discrete spectrum of $GSp(4)$ in terms of automorphic representations of GL(4).

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