Back to Algebraic Geometry Seminar: Spring 2010
Algebraic Geometry Seminar
Date: Friday, Feb 12, 2010
Time: 3:30PM - 4:30PM
Location: LCB 215
See also: Comm. Algebra Seminar
Hai Long Dao
University of Kansas
Title |
Non-commutative desingularizations and cluster-tilting objects over Cohen-Macaulay rings |
Abstract |
Let M be a reflexive module over a Cohen-Macaulay local ring R and A = Hom(M,M). If A has finite global dimension, then it has been proposed to serve as a non-commutative analogue of desingularizations of Spec(R). In this talk, we will survey what is known about when such module M exists, and discuss the connections with birational geometry and representation theory of commutative rings. Part of the new results are joint work with Craig Huneke. |
Algebraic Geometry