Invariant stability conditions on local $\mathbb{F}_0$

Algebra Seminar

Organizer：

邱宇

Speaker：

熊仪睿

西南石油大学

Time：

Thursday, 10:00-11:00

Dec. 26, 2024

Venue：

C654, Shuangqing Complex Building A

Title:

Invariant stability conditions on local $\mathbb{F}_0$

Abstract：

Let X denote the total space of canonical bundle of Hirzbruch surface $\mathbb{F}_0$, the aim of this talk is to describe a class of invariant stability conditions on the derived category of $X$ supported on the zero section. We give a complete characterization of the stable objects for a chamber of such invariant stability conditions.

Our work is a mathematical interpretation of physicists: Fabrizio Del Monte and Pietro Longhi, Quiver Symmetries and Wall-Crossing Invariance. Commun. Math. Phys. 398, 89–132 (2023).