Algebraic Geometry Seminar
Recovering generalized cohomology from symplectic cohomology
2024/12/11 (Wed.) 15:00~16:30
- Date : 2024/12/11 (Wed.) 15:00~16:30
- Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
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Speaker : Yusuf Barış Kartal (University of Edinburgh)
- Organizer : Ionut Ciocan-Fontanine and Adeel Khan and Y.P. Lee (AS)
- Abstract : Symplectic cohomology is a powerful invariant associated to open symplectic manifolds. It is essential in modern symplectic dynamics, it is closely related to quantum cohomology, and it plays an important role in mirror symmetry. However, it is not very sensitive to the homotopy type of the underlying manifold: it can even vanish for manifolds with arbitrarily complicated topology. When some extra structures on it are remembered, the rational homology can be recovered as a variant of Tate cohomology, but the torsion information is completely lost. In this talk, I will explain how to recover further information, including torsion part of the homology, complex K-theory and more from an enhanced version of symplectic cohomology. This is joint work with Laurent Cote.
