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）
题 目：Arithmetic mixed Siegel-Weil formulas and modular forms of arithmetic divisors
时 间：2022.12.02（星期五），11:00-12:00
地 点：腾讯会议：424-215-394 密码：2的10次方
摘 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.