Stratifying modular representations of finite groups
Dave Benson, Srikanth B. Iyengar and Henning Krause

\begin{abstract}
We classify localising subcategories of the stable module category of
a finite group that are closed under tensor product with simple (or,
equivalently all) modules.  One application is a proof of the
telescope conjecture in this context. Others include new proofs of the
tensor product theorem and of the classification of thick
subcategories of the finitely generated modules which avoid the use of
cyclic shifted subgroups. Along the way we establish similar
classifications for differential graded modules over graded polynomial
rings, and over graded exterior algebras.
\end{abstract}