Geometry and Physics Seminar: Mathieu Huruguen
- Date: 04/07/2014
- Time: 13:50
University of British Columbia
Special reductive groups over an arbitrary field
A linear algebraic group G defined over a field k is called special if every G-torsor over every field extension of k is trivial. In a modern language, it can be shown that the special groups are those of essential dimension zero. In 1958 Grothendieck classified special groups in the case where the base field k is algebraically closed. In this talk I will explain some recent progress towards the classification of special reductive groups over an arbitrary field. In particular, I will give the classification of special semisimple groups, special reductive groups of inner type and special quasisplit reductive groups over an arbitrary field k.
This is a live e-seminar hosted by The University of British Columbia in ESB 4127 and broadcast at The University of Alberta in CAB 449