BIMSA-YMSC Geometry and Dynamics Seminar

Organizer：

Yu-Wei Fan (YMSC)

Speaker：

Benjamin Sung

University of California, Santa Barbara

Time：

Wed., 13:30-14:30

Dec. 4, 2024

Online：

Zoom Meeting ID: 815 762 8413

Passcode: BIMSA

Title:

The Stability Manifold of ExExE

Abstract:

The theory of Bridgeland stability conditions assigns a complex manifold to the derived category of coherent sheaves on a smooth projective variety. The structure of this complex manifold is central for applications to algebraic geometry, but describing even a connected component is often a difficult, open problem. In this talk, I will describe the stability manifold of the product of three isomorphic elliptic curves without complex multiplication. This gives the first description for a smooth projective threefold of non-minimal Picard rank, and confirms a conjecture of Kontsevich in dimension 3. Based on 2410.08028, joint with Fabian Haiden.