Time： November 6, Monday, 14:00-16:00

Venue： No.2 Haina Yuan， Room 210

Title: Profinite properties of 3-manifold groups 

Speaker：Alexey Bondal (Kavli IPMU，Steklov Mathematical Institute Russian Academy of Sciences）

Abstract:   Singularity Theory is considered as an important tool in application of geometry to various problems in physics. Singularities of complex and algebraic varieties are recently studied by a combination of geometric and algebraic methods. The structure of a given singularity can be described by means of its classical commutative resolution. Relatively recently, noncommutative resolutions were proposed and intensively studied.

We discuss recent results and conjectures about the derived categories of singularities and their commutative and noncommutative resolutions. These include the null categories of the resolutions, spherical functors, flop-flop functors and Knoerrer periodicity for noncommutative Auslander resolutions.