时间：2025年3月4日（周二）16:00~17:30

Time：4:00~5:30 PM, Tuesday, Mar.4th, 2025

地点：西湖大学云谷校区E10-212教室

Venue: E10-212, Yungu Campus

主持人：西湖大学理论科学研究院 教授Ivan Fesenko

Host: Professor Ivan Fesenko, Institute for Theoretical Sciences

主讲人/Speaker：

Ngaiming Mok

Professor in Mathematics

The University of Hong Kong

报告题目/Title:

Bounded Symmetric Domains,Shimura Varieties and Beyond

讲座摘要/Abstract:

In this lecture, the speaker will trace his path of research in part with collaborators on bounded symmetric domains, Shimura varieties and beyond, going over various rigidity phenomena and characterization theorems and exhibiting the cross-fertilization of perspectives and methodologies in the study of such classical spaces, including complex differential geometry (Gauss-Bonnet formulas, Kähler metrics, curvature asymptotics, holomorphic isometries), several complex variables (Hartogs phenomenon, L^2-estimates of ∂ˉ, closed positive currents), partial differential equations (the ∂ˉ-equation, the Poincaré-Lelong equation and its analogues, the complex Monge-Ampère equation), harmonic analysis (Fatou’s theorem on bounded holomorphic functions, non-tangential limits), algebraic geometry (Chow schemes on compact duals Ω^, universal families and quotients of their restrictions to Ω), o-minimal theory (counting theorems, tame complex geometry) and dynamical systems (foliations, ergodic theory, renormalization).

讲座联系人/Contact:

科技合作部 Sci-tech02@westlake.edu.cn