Comparing commutative and noncommutative resolutions of singularities

Abstract: Quotient varieties for reductive groups admit the Kirwan (partial) resolution of singularities, and quite often also a noncommutative crepant resolution (NCCR). We will construct a (Orlov's type) semi-orthogonal decomposition of the derived category of the Kirwan resolution which has the derived category of the NCCR as a component, and where other components also have a concrete (almost) geometric description. This is a joint work with Michel Van den Bergh.

algebraic geometry

Audience: researchers in the topic

Derived seminar

Series comments: https://ed-ac-uk.zoom.us/j/89993982042

Password: a simply-connected two-dimensional variety with trivial canonical bundle (omit the space)