On the localization method in Chevalley groups
Seminar
Speaker
Helen Bunina (Bar-Ilan University)
Date
19/04/2023 - 11:30 - 10:30Add to Calendar
2023-04-19 10:30:00
2023-04-19 11:30:00
On the localization method in Chevalley groups
Every commutative ring R with 1 is naturally embedded into the direct product of the localizations of R at its maximal ideals. This construction is very useful for different problems in Chevalley groups over rings. We will talk about two applications: description of automorphisms and isomorphisms of Chevalley groups over arbitrary rings and double centralizers of elementary unipotent elements in these groups. We will also mention the Diophantine problem in Chevalley groups, its proof uses the double centralizers theorem.
Third floor seminar room, Mathematics building, and on Zoom. See link below.
אוניברסיטת בר-אילן - Department of Mathematics
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
Place
Third floor seminar room, Mathematics building, and on Zoom. See link below.
Abstract
Every commutative ring R with 1 is naturally embedded into the direct product of the localizations of R at its maximal ideals. This construction is very useful for different problems in Chevalley groups over rings. We will talk about two applications: description of automorphisms and isomorphisms of Chevalley groups over arbitrary rings and double centralizers of elementary unipotent elements in these groups. We will also mention the Diophantine problem in Chevalley groups, its proof uses the double centralizers theorem.
Last Updated Date : 21/04/2023
