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SUMMARY:Model categories and tilting modules for algebraic groups - Amit H
 azi (University of Cambridge)
DTSTART:20150728T131500Z
DTEND:20150728T141500Z
UID:TALK60175@talks.cam.ac.uk
CONTACT:Zhen Lin Low
DESCRIPTION:Let A be a ring. Then A-mod is an abelian category. If A is gr
 aded\, then the category A-grmod (with homogeneous\, degree 0 homomorphism
 s) is still abelian. What about if A is filtered? Then the category A-filt
 mod is not abelian in general\, so the standard constructions from homolog
 ical algebra don't work. Yet not all is lost\, if we are only interested i
 n derived properties of filtered modules. I'll show a quick and dirty way 
 to get the derived category using model categories. Then I'll show an appl
 ication to the study of tilting modules for algebraic groups.
LOCATION:MR3\, Centre for Mathematical Sciences
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