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CATEGORIES:Junior Algebra/Logic/Number Theory seminar
SUMMARY:An introduction to modular representation theory -
Amit Hazi University of Cambridge
DTSTART;TZID=Europe/London:20131122T150000
DTEND;TZID=Europe/London:20131122T160000
UID:TALK49077AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/49077
DESCRIPTION:Modular representation theory attempts to describe
the representations of a finite group G when the
characteristic p of the field divides |G|. In this
situation\, Maschke's theorem fails completely\,
meaning that a representation is not always isomor
phic to a direct sum of irreducibles. In this talk
I'll discuss how one can even begin understanding
the representations in the modular case by extend
ing the notion of projectivity to relative project
ivity. Some of the tools we use will be from gener
al non-commutative algebra\, but a few of the more
powerful results work due to the existence of loc
al structure on G (i.e. the p-subgroups and their
normalizers).
LOCATION:CMS\, MR5
CONTACT:Julian Brough
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