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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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Localizing subcategories of the stable module category of a finite group
Tuesday April 1, 2008
11:00AM - 12:00PM
Speakers:
Srikanth Iyengar
Abstract:
This talk concerns the support, as defined by Benson, Carlson,
and Rickard, of a (possibly infinite-dimensional) representation of
finite group. I will discuss a proof of the following result: Two
representations have the same support if and only if they generate the
same localizing subcategory of the stable module category
of infinite dimensional representations. As a corollary one obtains
that the localizing subcategories of stable module category are
parameterized by subsets of non-maximal prime ideals in the cohomology
ring of the group.
These results are part of on-going work, in collaboration with Benson
and Krause.
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