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The Stability Manifold of ExExE

组织者

范祐维

演讲者

Benjamin Sung

时间

2024年12月04日 13:30 至 15:30

地点

A3-2a-302

线上

Zoom 815 762 8413 (BIMSA)

摘要

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.