中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

华罗庚青年数学论坛

综合报告

报告人： 赵圣元 博士（Institute for Mathematical Sciences at Stony Brook University）

题  目：Birational Kleinian groups

时  间：2022.06.17（星期五），09:00-10:00

地  点：Zoom会议号：412 019 4771密码：mcm1234

摘  要：A Kleinian group is a discrete subgroup of PGL(2,C). A key feature of a Kleinian group

 is that there is a discontinuity domain in the Riemann sphere on which the group acts in a properly

 discontinuous way. The quotient of this discontinuity domain by the group action is typically a 

finite union of Riemann surfaces of finite type. In this talk we will consider group actions of

 "Kleinian type" in higher complex dimension. The group PGL(2,C) will be replaced with

 the birational transformation group of a complex projective variety. We further impose that

 the quotient of the discontinuity domain by the group action is compact. We will give a 

classification of such group actions in dimension two.