# 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