Cely, Jorge
(2016)
MOTIVIC INTEGRATION, THE SATAKE TRANSFORM AND THE FUNDAMENTAL LEMMA.
Doctoral Dissertation, University of Pittsburgh.
(Unpublished)
Abstract
The purpose of this work is to use motivic integration for the study of reductive groups over p-adic fields (towards applications of the fundamental lemma for groups). We study spherical Hecke algebras from a motivic point of view. We get a field independent description of the spherical Hecke algebra of a reductive group and its structure. We investigate the Satake isomorphism from the motivic point of view. We prove that some data of the Satake isomorphism is motivic.
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Details
| Item Type: |
University of Pittsburgh ETD
|
| Status: |
Unpublished |
| Creators/Authors: |
|
| ETD Committee: |
| Title | Member | Email Address | Pitt Username | ORCID |
|---|
| Committee Member | Ion, Bogdan | | | | | Committee Member | Kiumars, Kaveh | | | | | Committee Member | Gordon, Julia | | | | | Committee Chair | Thomas, Hales | | | |
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| Date: |
28 September 2016 |
| Date Type: |
Publication |
| Defense Date: |
8 July 2016 |
| Approval Date: |
28 September 2016 |
| Submission Date: |
14 July 2016 |
| Access Restriction: |
No restriction; Release the ETD for access worldwide immediately. |
| Number of Pages: |
102 |
| Institution: |
University of Pittsburgh |
| Schools and Programs: |
Dietrich School of Arts and Sciences > Mathematics |
| Degree: |
PhD - Doctor of Philosophy |
| Thesis Type: |
Doctoral Dissertation |
| Refereed: |
Yes |
| Uncontrolled Keywords: |
MOTIVIC INTEGRATION, THE SATAKE TRANSFORM AND THE FUNDAMENTAL LEMMA. |
| Date Deposited: |
28 Sep 2016 22:14 |
| Last Modified: |
15 Nov 2016 14:34 |
| URI: |
http://d-scholarship.pitt.edu/id/eprint/28611 |
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