The noncommutative MMP for blowup surfaces

Time：Wed.,1:30-2:30 pm, Mar. 5, 2025

Venue：Zoom Meeting ID: 815 762 8413 Passcode: BIMSA

Organizer：Yu-Wei Fan (YMSC)

Speaker：Tomohiro Karube The University of Tokyo

BIMSA-YMSC

Geometry and Dynamics Seminar

Seminar covering a broad range of topics in geometry and/or dynamics.

Organizer

Yu-Wei Fan (YMSC)

Speaker

Tomohiro Karube

The University of Tokyo

Time

Wed.,1:30-2:30 pm, Mar. 5, 2025

Online

Zoom Meeting ID: 815 762 8413

Passcode: BIMSA

Title

The noncommutative MMP for blowup surfaces

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.

DATEMarch 3, 2025

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