Algebraic groups and maximal tori

Speaker: 
Vladimir Chernousov
Date: 
Mon, Mar 23, 2015
Location: 
PIMS, University of British Columbia
Conference: 
Geometry and Physics Seminar
Abstract: 

We will survey recent developments dealing with characterization of absolutely almost simple algebraic groups having the same isomorphism/isogeny classes of maximal tori over the field of definition. These questions arose in the analysis of weakly commensurable Zariski-dense subgroups. While there are definitive  results over number fields (which we will briefly review), the  theory over general fields is only emerging. We will formulate the  existing conjectures, outline their potential applications, and  report on recent progress. Joint work with A. Rapinchuk and  I. Rapinchuk.

Embedded Video: 
See video