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Modularity of Higher Theta Series for Function Fields

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

March 15, 2023 (11:45 AM PDT - 12:45 PM PDT)
Speaker(s): Zhiwei Yun (Massachusetts Institute of Technology)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Modularity Of Higher Theta Series For Function Fields

Abstract

In earlier work we defined a theta series of algebraic cycles on the moduli space of unitary Shtukas with an arbitrary number of legs. This can be viewed as a generalization of theta series and arithmetic theta series for function fields. A main open problem after this construction is the modularity of the higher theta series. In this talk, I will explain a proof of the modularity of higher theta series when restricted to the generic fiber. This is joint work with Tony Feng and Wei Zhang.

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Modularity Of Higher Theta Series For Function Fields

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