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CATEGORIES:Birmingham and Warwick Algebra Seminar
SUMMARY:Block Decompositions of Categories of Modules Dete
rmined By Varieties - Jeremy Rickard\, University
of Bristol
DTSTART:20141211T160000Z
DTEND:20141211T170000Z
UID:TALK2581AT
URL:/talk/index/2581
DESCRIPTION:If _G_ is a finite group\, and we are interested i
n representations of _G_ over a field _k_ of prim
e characteristic\, then an extremely useful tool h
as been the\nmaximal ideal spectrum of the cohomol
ogy algebra of _G_ over _k_\, which is an algebrai
c variety of which every _kG_-module determines a
subvariety that gives useful information about the
module. If we fix a subvariety _V_ and consider t
he\nclass of modules whose variety is contained in
_V_\, then they form a category with many nice pr
operties\, especially if we work 'stably'. After g
iving an example-based introduction to the theory\
, I’ll talk about some more recent joint work\nwit
h Jon Carlson about how these categories decompose
into blocks\, as well as connections with Linckel
mann's 'block varieties'.
LOCATION:Physics West 117
CONTACT:David Craven
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