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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 209: Number Theory Seminar
John Voight
University of Sydney
Hilbert modular forms obtained from orthogonal modular forms on quaternary lattices
Abstract:
We make explicit the relationship between Hilbert modular forms and orthogonal modular forms arising from positive definite quaternary lattices over the ring of integers of a totally real number field. Our work uses the Clifford algebra, and it generalizes that of Ponomarev, Bocherer--Schulze-Pillot, and others by allowing for general discriminant, weight, and class group of the base ring. This is joint work with Eran Assaf, Dan Fretwell, Colin Ingalls, Adam Logan, and Spencer Secord.
[pre-talk at 3:00PM]
January 22, 2025
4:00 PM
APM 7321 and online (see https://www.math.ucsd.edu/~nts
Research Areas
Number Theory****************************
