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Exceptional Theta Functions

Shimura Varieties and L-Functions March 13, 2023 - March 17, 2023

March 16, 2023 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Aaron Pollack (University of California, San Diego)
Location: MSRI: Simons Auditorium, Online/Virtual

Exceptional Theta Functions


Classical pluriharmonic theta functions give one a way to explicitly write down cuspidal holomorphic (Siegel) modular forms, together with their exact Fourier expansion. These classical theta functions are associated to algebraic modular forms on definite orthogonal groups. I will describe an "exceptional" analogue of these classical theta functions, which are associated to algebraic modular forms on definite forms of the exceptional groups G_2 and F_4. I will also describe some applications.

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Exceptional Theta Functions

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