中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

华罗庚青年数学论坛

学术报告

 

报告人邱聪灵 博士 Yale University

 Arithmetic mixed Siegel-Weil formulas and modular forms of arithmetic divisors

  2022.12.02(星期五),11:00-12:00

  点:腾讯会议:424-215-394 密码:210次方      

  要: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.

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