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SUMMARY:Representations of pseudo-reductive groups - David Stewart (Newcas
 tle)
DTSTART:20171025T153000Z
DTEND:20171025T163000Z
UID:TALK84571@talks.cam.ac.uk
CONTACT:Christopher Brookes
DESCRIPTION:Pseudo-reductive groups are smooth connected linear algebraic 
 groups over a field k whose k-defined unipotent radical is trivial. If k i
 s perfect then all pseudo-reductive groups are reductive\, but if k is imp
 erfect (hence of characteristic p) then one gets a strictly larger collect
 ion of groups. They come up in a number of natural situations\, not least 
 when one wishes to say something about the simple representations of all s
 mooth connected linear algebraic groups. Recent work by Conrad-Gabber-Pras
 ad has made it possible to reduce the classification of the simple represe
 ntations of pseudo-reductive groups to the split reductive case. I’ll ex
 plain how. This is joint work with Mike Bate and Ben Martin.
LOCATION:MR12
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