Geometry and Physics Seminar: Vladimir Chernousov

  • Date: 03/23/2015
Vladimir Chernousov, UAlberta

University of British Columbia


Algebraic groups and maximal tori


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.

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Location: ESB 4127