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Atsushi Kanazawa (Waseda University)
2026-04-30  09:00 - 10:30
Room 202, Astronomy and Mathematics Building

Generalized complex geometry, introduced by Nigel Hitchin and further developed by Marco Gualtieri, is a mathematical framework that unifies complex geometry and symplectic geometry by replacing the tangent bundle with the direct sum of the tangent and cotangent bundles. This perspective not only provides a unified viewpoint but also naturally incorporates the B-field transformations, which play an important role in string theory. Generalized Calabi-Yau geometry arises as a special case within this framework. In the first talk, I will give an introduction to generalized Calabi-Yau geometry. In the second talk, I will focus on the real 4-dimensional case, namely generalized K3 surfaces, and discuss applications to mirror symmetry.