Number Theory Seminar: Computation of paramodular forms via lattice methods

Seminar | March 7 | 3:40-5 p.m. | 748 Evans Hall

 Watson Ladd, UC Berkeley

 Department of Mathematics

We know how to calculate spaces of classical modular forms and make large tables, but Siegel modular forms have been much harder to compute. Conditional on Ibukiyama's conjecture, we compute efficiently Euler factors of some (many) paramodular forms via computations with the genus of particular quadratic forms. This is joint work with Gonzalo Tornaria and Jeffrey Hein.