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Homological Methods in Representation Theory |
| March 31, 2008 to April 04, 2008 |
| Organized By: David Benson, Daniel Nakano(chair), Raphael Rouquier |
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| Parent Programs: |
| Representation Theory of Finite Groups and Related Topics |
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| Return to Workshop Description |
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On graded centers of stable and derived module categories
Monday March 31, 2008
09:30AM - 10:30AM
Speakers:
Markus Linckelmann
Abstract:
The center of a category C, introduced by P. Gabriel, consists
of all natural transformations on the identity functor on C.
The terminology is motivated by the fact that if C is the module
category of a ring A then the center of C is isomorphic to the center
of the ring A. If C is an additive category equipped with a self
equivalence - for example, a triangulated category - one can refine this
concept to get a graded version, the graded center of C. This
is a graded ring which in some ways behaves like a cohomology ring.
Examples include the derived module category and the stable module
category of a self-injective algebra. We consider in particular graded centers of stable categories and some applications
in modular representation theory.
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