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CATEGORIES:Algebra and Representation Theory Seminar
SUMMARY:Representations of pseudo-reductive groups - David
Stewart (Newcastle)
DTSTART;TZID=Europe/London:20171025T163000
DTEND;TZID=Europe/London:20171025T173000
UID:TALK84571AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/84571
DESCRIPTION:Pseudo-reductive groups are smooth connected linea
r algebraic groups over a field k whose k-defined
unipotent radical is trivial. If k is perfect then
all pseudo-reductive groups are reductive\, but i
f k is imperfect (hence of characteristic p) then
one gets a strictly larger collection of groups. T
hey come up in a number of natural situations\, no
t least when one wishes to say something about the
simple representations of all smooth connected li
near algebraic groups. Recent work by Conrad-Gabbe
r-Prasad has made it possible to reduce the classi
fication of the simple representations of pseudo-r
eductive groups to the split reductive case. I’ll
explain how. This is joint work with Mike Bate and
Ben Martin.
LOCATION:MR12
CONTACT:Christopher Brookes
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