2026-09-19T03:43:54Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/293462022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Aise Johan de Jong.
Ghitza, Alexandru Edgar, 1976-
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2005-10-14T19:59:08Z
2005-10-14T19:59:08Z
2003
2003
http://hdl.handle.net/1721.1/29346
52767113
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.
105 p.
2989623 bytes
2989430 bytes
application/pdf
application/pdf
eng
Massachusetts Institute of Technology
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http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
Siegel modulator form (mod p) and algebraic modular forms
Thesis
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