Exceptional Theta Functions
Shimura Varieties and L-Functions March 13, 2023 - March 17, 2023
Location: SLMath: Eisenbud Auditorium, Online/Virtual
11F85 - $p$p-adic theory, local fields [See also 14G20, 22E50]
11G18 - Arithmetic aspects of modular and Shimura varieties [See also 14G35]
11G20 - Curves over finite and local fields [See also 14H25]
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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Exceptional Theta Functions
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