Commutative Algebra and Algebraic Geometry: Auslander-Reiten duality for commutative rings: a survey of some recent developments

Seminar | September 5 | 3:45-4:45 p.m. | 939 Evans Hall

 Hailong Dao, University of Kansas

 Department of Mathematics

Let R be a local Gorenstein ring with an isolated singularity. The Auslander-Reiten duality is a duality between certain Ext-groups of (M,N) where M,N are maximal Cohen-Macaulay modules over R. In this talk I will describe this duality and give an elementary proof. Then I will discuss possible extensions and the connection to the Kapustin-Li formula for matrix factorizations (when the ring is a hypersurface).