R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Holomorphic symplectic geometry of the space of Bridgeland stability conditions
Atsushi Kanazawa (Harvard University)
This is an introductory talk about mirror symmetry and the space of Bridgeland stability condition. Mirror symmetry relates symplectic geometry of a Calabi-Yau manifold with complex geometry of another. Given a Calabi-Yau manifold X, special Lagrangian submanifolds form stable objects in Fukaya category Fuk(X), and the space of such stabilities is roughly the (gauged) complex moduli space of X. Considering the mirror objects of these, we are lead to the notion of Bridgeland stability. The space of such stabilities is expected to have rich geometry, which I recently study with Y.-W. Fan and S.-T. Yau.
