中科院数学与系统科学研究院
数学研究所
微分几何研讨班
报告人：张俊 博士 (CRM - Université de Montréal)
题 目：Quantitative studies in symplectic geometry
时 间：2020.12.04（星期五）, 09:30-10:30
地 点：数学院南楼N219
Zoom会议：694 3316 8027 密码：581331
摘 要：Symplectic and contact geometry are active research branches in geometry and topology. In this talk, I will demonstrate how quantitative studies are conducted in symplectic and contact geometry.Here, quantitative studies mean constructing various numerical (and computational) invariants that can distinguish central objects in symplectic and contact geometry. Related questions arise from well-known research subjects, such as Hofer’s geometry, symplecticembedding, and Legendrian characterization. Along with this demonstration, some of my work and results will be elaborated, and future research plans will be outlined.
Biography: Jun Zhang is a CRM-ISM Postdoctoral Research Fellow in Mathematics at the Centre de Recherches Mathématiques (CRM) - Université de Montréal. He received his PhD at the University of Georgia in 2016, after which he was a postdoctoral researcher at Tel Aviv University. His research interests include symplectic geometry, contact geometry, persistent homology, and microlocalsheaf theory.
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报告人：Dr. Shan-Tai Chan (The University of Hong Kong)
题 目：Geometry of holomorphic isometries among bounded symmetric domains and applications
时 间：2020.12.04（星期五）, 08:30-09:30
地 点：数学院南楼N219
Zoom会议：670 7301 2321 密码：072170
摘 要：In this talk, I will discuss the recent developments of holomorphic isometries among bounded symmetric domains. In the first part, I will focus on the study of holomorphicisometries of complex unit balls into bounded symmetric domains. This is based on my work, a joint work with Ngaiming Mok, and a joint work with Yuan Yuan. In the second part, I will talk about our study on the boundary behaviourof holomorphic isometries from the Poincaré disk into bounded symmetric domains based on ajoint work with Ngaiming Mok, and discuss its applications to some problems in Arithmetic Geometry, such as the Hyperbolic Ax-Lindemann-Weierstrass Conjecture.
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