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SUMMARY:An introduction to modular representation theory - Amit Hazi Unive
 rsity of Cambridge
DTSTART:20131122T150000Z
DTEND:20131122T160000Z
UID:TALK49077@talks.cam.ac.uk
CONTACT:Julian Brough
DESCRIPTION:Modular representation theory attempts to describe the represe
 ntations of a finite group G when the characteristic p of the field divide
 s |G|. In this situation\, Maschke's theorem fails completely\, meaning th
 at a representation is not always isomorphic to a direct sum of irreducibl
 es. In this talk I'll discuss how one can even begin understanding the rep
 resentations in the modular case by extending the notion of projectivity t
 o relative projectivity. Some of the tools we use will be from general non
 -commutative algebra\, but a few of the more powerful results work due to 
 the existence of local structure on G (i.e. the p-subgroups and their norm
 alizers).
LOCATION:CMS\, MR5
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