Geometry and Topology Seminar——Equivariant embeddings of Riemann surfaces in Euclidean spaces
报告人：王晁（华东师范大学）
时间：2024-12-30 15:10-16:00
地点：智华楼四元厅（225）
Abstract: Let S be a closed Riemann surface, and let G be a finite subgroup of the automorphism group of S. It is known that there exists a smooth G-equivariant embedding from S to some Euclidean space E, where G acts orthogonally on E. We will discuss some results about the minimal possible dimension n of such E. For example, we will show that n is at most |G| if |G|>4. Also, for the Hurwitz action on the Klein quartic, we have n=8. This is a joint work with Zhongzi Wang.
