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

 Birational Kleinian groups

  2022.06.17(星期五),09:00-10:00

  点:Zoom会议号412 019 4771密码:mcm1234

  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.
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