Faculty of Mathematics
Collaborative Research Centre 701
Spectral Structures and Topological Methods in Mathematics

Project C10

Local cohomology and support in representation theory

Principal Investigator(s) Other Investigators

Summary:

We will study local cohomology functors and support varieties for representations of finite dimensional algebras. Working in some appropriate derived category, we aim for classifications of thick and localizing subcategories. This provides a method to classify representations of finite dimensional algebras in terms of geometric, spectral, and combinatorial invariants, using techniques from differential graded homological algebra, commutative algebra, and stable homotopy theory.

Recent Preprints:

 12093 Derived categories of absolutely flat rings PDF | PS.GZ 12092 Duality for bounded derived categories of complete intersections PDF | PS.GZ 12091 Filtrations via tensor actions PDF | PS.GZ 12086 Contraherent cosheaves PDF | PS.GZ 12073 Module categories for group algebras over commutative rings PDF | PS.GZ 12024 Even more spectra: Tensor triangular comparison maps via graded commutative 2-rings PDF | PS.GZ 11144 Stratifying modular representations of finite groups PDF | PS.GZ 11143 Stratifying triangulated categories PDF | PS.GZ 11142 Morita homotopy theory of $C^*$-categories PDF | PS.GZ 11104 Morphisms determined by objects in triangulated categories PDF | PS.GZ