The affine n-space is determined by its automorphism group
Seminar
Speaker
Dr. Andriy Regeta (University of Jena)
Date
19/02/2020 - 16:00 - 15:00Add to Calendar
2020-02-19 15:00:00
2020-02-19 16:00:00
The affine n-space is determined by its automorphism group
Our base field is an uncountable algebraically closed field (of any characteristic). We show that an affine space is determined by the abstract group structure of its regular automorphism group in the category of connected affine varieties. To prove this we use tools from birational geometry and study commutative subgroups of the group of automorphisms of affine varieties.
(This is joint work with Serge Cantat and Junyi Xie).
Third floor seminar room (room 201, building 216)
אוניברסיטת בר-אילן - Department of Mathematics
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
Place
Third floor seminar room (room 201, building 216)
Abstract
Our base field is an uncountable algebraically closed field (of any characteristic). We show that an affine space is determined by the abstract group structure of its regular automorphism group in the category of connected affine varieties. To prove this we use tools from birational geometry and study commutative subgroups of the group of automorphisms of affine varieties.
(This is joint work with Serge Cantat and Junyi Xie).
Last Updated Date : 16/02/2020
