| Type of Document |
Dissertation |
| Author |
Whitehouse, David
|
| URN |
etd-05242005-104909 |
| Persistent URL |
http://resolver.caltech.edu/CaltechETD:etd-05242005-104909 |
| Title |
The twisted weighted fundamental lemma for the transfer of automorphic forms from GSp(4) to GL(4) |
| Degree |
PhD |
| Option |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Dinakar Ramakrishnan |
Committee Chair |
| Hee Oh |
Committee Member |
| Matthias Flach |
Committee Member |
| Mladen Dimitrov |
Committee Member |
|
| Keywords |
- automorphic forms
- fundamental lemma
|
| Date of Defense |
2005-05-20 |
| Availability |
unrestricted |
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 $GL(4)$.
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| Files |
| Filename |
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Approximate Download Time
(Hours:Minutes:Seconds)
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| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
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Thesis_onesided.pdf |
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Thesis_twosided.pdf |
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