
School of Mathematics and Statistics
Wayne Wheeler
University of Leicester
The Stable Category of a Finite Group is Locally Determined.
Friday 9th April, 121pm, Carslaw 375.
One of the main problems in modular representation theory is to
understand the connections between local and global representations
of a finite group G. In other words, one frequently tries
to understand the representations of G over a field
k of characteristic p>0 by studying
representations for the normalizers of nontrivial
psubgroups, known as local subgroups. The stable
category kGMod is defined by factoring out the
projectives in the category kGMod of all left
kGmodules. This talk will discuss a way of using the
local structure of G to construct a category
L(G,k) that is equivalent to kGMod. It is
then easy to identify an appropriate subcategory of L(G,k)
that is equivalent to the subcategory kGmod of
finitely generated modules in kGMod.
