The noncommutative MMP for blowup surfaces
Organizer
Speaker
Tomohiro Karube
Time
Wednesday, March 5, 2025 1:30 PM - 3:30 PM
Venue
A3-2-303
Online
Zoom 815 762 8413
(BIMSA)
Abstract
The notion of Bridgeland stability conditions is the derived analogue of the slope stability of coherent sheaves. Like the ample cone of a variety, the space of Bridgeland stability conditions reflects properties of a variety. The noncommutative minimal model program (NCMMP), proposed by Halpern-Leistner, is an analogue of minimal model program (MMP) in derived categories. The NCMMP aims to divide the derived category into smaller components through semiorthogonal decomposition by using the space of Bridgeland stability conditions. In this talk, I will show the relation between the NCMMP and quantum cohomology, and I will discuss the blowup of a surface at a point.