University of Sydney Algebra Seminar

Jon F. Carlson (UGA)

Friday 27 April, 12:05-12:55pm, Carslaw 175

Thick subcategories of the bounded derived category

This is joint work with Srikanth Iyengar. It is all about using methods from commutative algebra to study group representations. A new proof of the classification for tensor ideal thick subcategories of the bounded derived category, and the stable category, of modular representations of a finite group is obtained. The arguments apply more generally to yield a classification of thick subcategories of the bounded derived category of an artinian complete intersection ring. One of the salient features of this work is that it takes no recourse to infinite constructions, unlike the previous proofs of these results.