Dissertation/Thesis Abstract

Algebraic Modular Forms on SO5(Q) and the Computation of Paramodular Forms
by Ladd, Watson Bernard, Ph.D., University of California, Berkeley, 2018, 46; 10817152
Abstract (Summary)

This dissertation describes a result that compares two level subgroups on different inner forms of GSp(4), and then uses this result and a conjecture of Ibukiyama’s to compute paramodular forms for all prime levels below 400. In the process 78 generic forms were computed, of which 47 had not been previously computed.

Indexing (document details)
Advisor: Ribet, Kenneth
Commitee: Olsson, Martin, Wagner, David
School: University of California, Berkeley
Department: Mathematics
School Location: United States -- California
Source: DAI-B 80/01(E), Dissertation Abstracts International
Subjects: Mathematics
Keywords: Algebraic modular forms, Computation, Ibukiyama conjecture, Langlands, Neighbor method, Paramodular
Publication Number: 10817152
ISBN: 9780438324909
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