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MOTIVIC INTEGRATION, THE SATAKE TRANSFORM AND THE FUNDAMENTAL LEMMA.

Cely, Jorge (2016) MOTIVIC INTEGRATION, THE SATAKE TRANSFORM AND THE FUNDAMENTAL LEMMA. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

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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Status: Unpublished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:
CreatorsEmailPitt UsernameORCID
Cely, Jorgecelyje@gmail.comJEC133
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee MemberIon, Bogdan
Committee MemberKiumars, Kaveh
Committee MemberGordon, Julia
Committee ChairThomas, Hales
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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