The Stability Manifold of ExExE
Organizer
Speaker
Benjamin Sung
Time
Wednesday, December 4, 2024 1:30 PM - 3:30 PM
Venue
A3-2a-302
Online
Zoom 815 762 8413
(BIMSA)
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.