Character sheaves on symmetric spaces
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Language: | eng |
| Published: |
Massachusetts Institute of Technology
2005
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/1721.1/8638 |
| _version_ | 1826207939233316864 |
|---|---|
| author | Henderson, Anthony, 1976- |
| author2 | George Lusztig. |
| author_facet | George Lusztig. Henderson, Anthony, 1976- |
| author_sort | Henderson, Anthony, 1976- |
| collection | MIT |
| description | Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001. |
| first_indexed | 2024-09-23T13:57:20Z |
| format | Thesis |
| id | mit-1721.1/8638 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T13:57:20Z |
| publishDate | 2005 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/86382019-04-12T09:42:42Z Character sheaves on symmetric spaces Henderson, Anthony, 1976- George Lusztig. Massachusetts Institute of Technology. Dept. of Mathematics. Massachusetts Institute of Technology. Dept. of Mathematics. Mathematics. Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001. Includes bibliographical references (p. [79]-[80]). Inspired by the work of Lusztig, we apply the theory of character sheaves on a symmetric space (h la Ginzburg and Grojnowski) to the problem of determining the spherical functions (averages of the irreducible characters) of the associated symmetric space over a finite field. A crucial result about the filtration of character sheaves by cells enables us to compute the spherical functions explicitly in the cases GLn((Fq2)/GLn(]Fq) and GL2n(1Fq)/Sp2n((Fq), as well as other closely related examples. We include partial results about the symmetric space GLn/(GLm x GLn-m), to illustrate some of the obstacles to further generalization. by Anthony Henderson. Ph.D. 2005-08-23T21:55:42Z 2005-08-23T21:55:42Z 2001 2001 Thesis http://hdl.handle.net/1721.1/8638 49612548 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 77, [3] p. 6112746 bytes 6112507 bytes application/pdf application/pdf application/pdf Massachusetts Institute of Technology |
| spellingShingle | Mathematics. Henderson, Anthony, 1976- Character sheaves on symmetric spaces |
| title | Character sheaves on symmetric spaces |
| title_full | Character sheaves on symmetric spaces |
| title_fullStr | Character sheaves on symmetric spaces |
| title_full_unstemmed | Character sheaves on symmetric spaces |
| title_short | Character sheaves on symmetric spaces |
| title_sort | character sheaves on symmetric spaces |
| topic | Mathematics. |
| url | http://hdl.handle.net/1721.1/8638 |
| work_keys_str_mv | AT hendersonanthony1976 charactersheavesonsymmetricspaces |