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The twisted weighted fundamental lemma for the transfer of automorphic forms from GSp(4) to GL(4)

Citation

Whitehouse, David (2005) The twisted weighted fundamental lemma for the transfer of automorphic forms from GSp(4) to GL(4). Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-05242005-104909

Abstract

We prove the twisted weighted fundamental lemma for the group $GL(4) imesGL(1)$ relative to a certain outer automorphism $alpha$, 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 $(GL(4) imesGL(1),alpha)$. This stabilized twisted trace formula is required for Arthur's classification of the discrete spectrum of $GSp(4)$ in terms of automorphic representations of $GL(4)$.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:automorphic forms; fundamental lemma
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Ramakrishnan, Dinakar
Thesis Committee:
  • Ramakrishnan, Dinakar (chair)
  • Oh, Hee
  • Flach, Matthias
  • Dimitrov, Mladen
Defense Date:20 May 2005
Record Number:CaltechETD:etd-05242005-104909
Persistent URL:http://resolver.caltech.edu/CaltechETD:etd-05242005-104909
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1995
Collection:CaltechTHESIS
Deposited By: Imported from ETD-db
Deposited On:03 Jun 2005
Last Modified:26 Dec 2012 02:45

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