UC Berkeley

Commutative Algebra and Algebraic Geometry Seminar

September 05, 2017

939 Evans Hall


3:45PM: Auslander-Reiten duality for commutative rings: a survey of some recent developments

Hailong Dao

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).

5:00PM: Symbolic Powers Part 1: Symbolic Powers and the Zariski-Nagata Theorem

Madeleine Weinstein

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).

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