Tim Burness

Activity: Hosting a visitorAcademic

Description

Title: Topological generation of algebraic groups

Abstract: Let G be an algebraic group over an algebraically closed field. A subset S of G topologically generates G if the subgroup generated by S is dense in G, with respect to the Zariski topology. In this talk, I will report on recent work with Spencer Gerhardt and Bob Guralnick on the topological generation of simple algebraic groups by elements in specified conjugacy classes. I will explain some of the main ideas and I will present new results for exceptional algebraic groups. I will also describe an application concerning the random generation of finite simple groups of Lie type.
Period13 Jan 2020
Visiting fromUniv Bristol, Dept Math (United Kingdom)
Visitor degreePhD
Degree of RecognitionLocal