Title: Support varieties for transporter category algebras

Author: Fei Xu

Address: Departament de Matem\`atiques, Universitat Aut\`onoma de
Barcelona, 08193 Bellaterra, Spain.

Abstract: Let G be a finite group. Over any finite G-poset P we may
define a transporter category as the corresponding Grothendieck
construction. We introduce a support variety theory for the category
algebras of transporter categories. It generalizes Carlson's support
variety theory and provides a class of algebras on which
Snashall-Solberg's (Hochschild) support variety theory applies.
Various properties will be developed. Particulary we establish a
Quillen stratification for modules.