2017년도 이전 세미나
CR geometry and bounded symmetric domains
|Category||2016 Fall Math Colloquium|
|날짜||2016-09-23||시간||15:50:00 ~ 18:00:00|
|장소||Math Sci Bldg 404||Host||Oh Yong-Geun|
|Speaker||Sung Yeon Kim||소속||KIAS|
|TOPIC||CR geometry and bounded symmetric domains|
|소개 및 안내사항||The subject of Hermitian locally symmetric manifolds is a classical one in complex dif-ferential geometry. Other than Riemann surfaces, compact quotients of bounded symmetric domains play a central roll in this ﬁeld. In this talk, we present rigidity phenomena of compact quotients of bounded symmetric domains of rank ≥ 2. Then we introduce a diﬀerential geometric method for the rigidity of proper holomorphic maps between bounded symmetric domains. We use CR structure on the boundary components as geometric structures preserved by proper holomorphic maps extending smoothly to an open piece of a boundary component. Then we follow Cartan’s moving frame method which was ﬁrst adopted by Webster in the study of rigidity of locally deﬁned CR maps between spheres.