Back to Commutative Algebra Seminar: Fall 2015
Commutative Algebra Seminar
Date: Friday, Sep 25, 2015
Time: 3:10PM - 4:00PM
Location: LCB 222
Jon F. Carlson
University of Georgia, Athens
Title |
The relative stable category |
Abstract |
Let G be a finite group and k an algebraically closed field of characteristic p > 0. Let H be a collection of p-subgroups of G. We investigate the relative stable category stmod_H(kG) of finitely generated modules modulo H-projective modules. Triangles in this category correspond to H-split sequences. Hence, compared to the ordinary stable category there are fewer triangles and more thick subcategories. Our interest is in the spectrum of this category and its relationship to the induction functor. The lecture will concentrate on the nature of the constructions with a few examples of what is now known about the subcategories in the spectrum. |
Commutative Algebra