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SUMMARY:Investigating $kG$-modules using nilpotent operators - Friedlander
 \, E (Southern California)
DTSTART:20090623T090000Z
DTEND:20090623T100000Z
UID:TALK18874@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:This is a report of on-going work with Jon Carlson\, Julia Pev
 tsova\, and Andrei Suslin.  Our object of study is the representation theo
 ry of $kG$ where $G$ is a finite group scheme.  Following Quillen's early 
 work\, first invariants involve cohomology and cohomological support varie
 ties.  These have interpretations in terms of 1-parameter subgroups and $p
 i$-points.  Finer invariants arise from considering the Jordan type of nil
 potent operators\, leading to local Jordan types\, generalized support var
 ieties\, and algebraic vector bundles on projective varieties.
LOCATION:Seminar Room 1\, Newton Institute
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