糖果派对

Speaker: Benjamin Sung
(University of California)


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.