报告时间：2025年12月17日下午14：00-16：00

报告地点：立德楼710

报告名称：Theta liftings in higher Chow groups for orthogonal Shimura varieties

报告摘要：In the celeborated theory of arithmetic theta liftings, a.k.a. the Kudla program, a key component is to prove the modularity of the generating series with values in (arithmetic) Chow cycles. In this talk, we report on a joint work in progress with Haocheng Fan, Wenxuan Qi, Peihang Wu, and Yichao Zhang, in which we propose a parallel story for higher Chow cycles. In the talk, I will focus on explaining the basic framework, which involves a (somewhat) new proof of the modularity in the cycles case and a mild generalization of Borcherds products. Assuming a yet-missing technical input on cohomology vanishing, this is expeted to construct a modular generating series with values in higher Chow groups of orthogonal Shimura varieties, and to relate their regulators with the special values of L-functions, as predicted by Beilinson’s conjecture.

专家简介：肖梁，北京大学数学科学学院教授， 2020年入选海外国家高层次青年人才项目并入选国家高层次人才计划， 2023年获第二期新基石研究员项目资助。