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Group, Lie and Number Theory Seminar

Arithmetic mixed Siegel-Weil formulas and modular forms of arithmetic divisors
Monday, October 31, 2022
4:30-5:30 PM
4088 East Hall Map
The classical Siegel–Weil formula relates theta series to Eisenstein series and its arithmetic version is central in Kudla's program. I will discuss arithmetic mixed Siegel-Weil formulas. I will focus on the one in the work of Gross and Zagier, and the one in my recent work. As an application, I obtained modular generating series of arithmetic extensions of Kudla's special divisors for unitary Shimura varieties over CM fields with arbitrary split level. This provides a partial solution to a problem of Kudla. Speaker(s): Congling Qiu (Yale University)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics, Group, Lie and Number Theory Seminar - Department of Mathematics