Localizing subcategories of the stable module category of a finite group
Homological Methods in Representation Theory
April 01, 2008 11:00 AM to 12:00 PM
Speakers:
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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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Lecture #12710
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