Siegel modulator form (mod p) and algebraic modular forms
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2003.
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Language: | eng |
| Published: |
Massachusetts Institute of Technology
2005
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/1721.1/29346 |
| _version_ | 1811069742877769728 |
|---|---|
| author | Ghitza, Alexandru Edgar, 1976- |
| author2 | Aise Johan de Jong. |
| author_facet | Aise Johan de Jong. Ghitza, Alexandru Edgar, 1976- |
| author_sort | Ghitza, Alexandru Edgar, 1976- |
| collection | MIT |
| description | Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2003. |
| first_indexed | 2024-09-23T08:15:15Z |
| format | Thesis |
| id | mit-1721.1/29346 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T08:15:15Z |
| publishDate | 2005 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/293462022-01-13T07:54:35Z Siegel modulator form (mod p) and algebraic modular forms Ghitza, Alexandru Edgar, 1976- Aise Johan de Jong. Massachusetts Institute of Technology. Dept. of Mathematics. Massachusetts Institute of Technology. Department of Mathematics Mathematics. Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2003. Includes bibliographical references (p. 101-104) and index. In his letter [Ser96], J.-P. Serre proves that the systems of Hecke eigenvalues given by modular forms (mod p) are the same as the ones given by locally constant functions ... , where B is the endomorphism algebra of a supersingular elliptic curve. After giving a detailed exposition of Serre's result, we prove that the systems of Hecke eigenvalues given by Siegel modular forms (mod p) of genus g are the same as the ones given by algebraic modular forms (mod p) on the group GUg(B), as defined in [Gro99] and [Gro98]. The correspondence is obtained by restricting to the superspecial locus of the moduli space of abelian varieties. by Alexandru Edgar Ghitza. Ph.D. 2005-10-14T19:59:08Z 2005-10-14T19:59:08Z 2003 2003 Thesis http://hdl.handle.net/1721.1/29346 52767113 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 105 p. 2989623 bytes 2989430 bytes application/pdf application/pdf application/pdf Massachusetts Institute of Technology |
| spellingShingle | Mathematics. Ghitza, Alexandru Edgar, 1976- Siegel modulator form (mod p) and algebraic modular forms |
| title | Siegel modulator form (mod p) and algebraic modular forms |
| title_full | Siegel modulator form (mod p) and algebraic modular forms |
| title_fullStr | Siegel modulator form (mod p) and algebraic modular forms |
| title_full_unstemmed | Siegel modulator form (mod p) and algebraic modular forms |
| title_short | Siegel modulator form (mod p) and algebraic modular forms |
| title_sort | siegel modulator form mod p and algebraic modular forms |
| topic | Mathematics. |
| url | http://hdl.handle.net/1721.1/29346 |
| work_keys_str_mv | AT ghitzaalexandruedgar1976 siegelmodulatorformmodpandalgebraicmodularforms |