Zhongguancun Number Theory Colloquium

Time：

Fri., 15:10-17:40, Mar. 20, 2026

Venue:

C548, Shuangqing Complex Building A

Speaker: Liang Xiao (Peking University)

Title: Higher Chow group version of theta lifts

Abstract: In the foundational work of Kudla and Millson, they introduced a version of theta lifts which gives rise to generating series with values in Chow cycles on orthogonal of unitary Shimura varieties. A key ingredient in proving the modularity of this generating series is Borcherds' work on singular theta lifts. In this talk, we explain a framework, which hopes to construct a similar generating series with values in higher Chow groups, in which a (conjectural) version of Borcherds' result on singular theta lifts from Sp4 naturally appears. This is largely motivated by potential applications to Beilinson conjecture. This is an ongoing series of joint works with Haocheng Fan, Wenxuan Qi, Linli Shi, Peihang Wu, and Yichao Zhang.

Speaker: Shuichiro Takeda (The University of Osaka)

Title: The local theta correspondence

Abstract: In this talk, I will talk about the theory of local theta correspondences, especially the two main theorems: conservation relation and Howe duality. The talk is based on the forthcoming book jointly written by W.T. Gan and S. Kudla.