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SUMMARY:A conjecture of Colliot-Thelene in the case of the exceptional gro
 ups - Ivan Panin (St Petersburg)
DTSTART:20120530T131500Z
DTEND:20120530T141500Z
UID:TALK35132@talks.cam.ac.uk
CONTACT:Burt Totaro
DESCRIPTION:We consider a regular local ring R containing an infinite fiel
 d of\ncharacteristic different from 2\, the fraction field K of R and a si
 mple algebraic group scheme G over R. The question is whether for a given\
 nparabolic subgroup in the group G_K there is a parabolic subgroup scheme 
 of\nthe same type in G over R.\n\nWe answer the question in the affirmativ
 e provided that G has type G2\, F4\, or\nE6. If G is of type E7 or E8\, th
 en we answer the question in the affirmative\nfor most types of parabolics
 . This partly solves a conjecture of\nColliot-Thélène and extends an ear
 lier result of I. Panin and K. Pimenov for\nquadratic spaces.\n\nThis is j
 oint work with V. Petrov.
LOCATION:MR 13\, CMS
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