## Colloquium Noncommutative Rational Singularities

Author: UNB

Posted on Nov 25, 2013

Category: Seminars and Colloquia

#### Colloquium

Noncommutative Rational Singularities

##### Kenneth Chan (University of Washington in Seattle)

##### Thursday, September 12, 2013 at 3:30 pm

##### Tilley Hall Room 125

We introduce the notion of Brauer log pairs and explain their connection with noncommutative algebraic geometry. There is a theory, analogous to the log MMP, which provides terminal models for Brauer log pairs over surfaces. We define the notion of “numerical rationality” for Brauer log pairs, and discuss some of their properties. This provides us with a notion of noncommutative rational singularities.