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Homotopy theory of symplectic and complex manifolds
Geometry/Topology| Speaker: | Vardan Oganesyan, UC Santa Cruz |
| Location: | 2112 MSB |
| Start time: | Tue, Feb 20 2024, 2:10PM |
Inspired by motivic homotopy theory we define new homotopy theories of symplectic and complex manifolds. In particular, we define new cohomology theories. Then, we define triangulated persistence categories of symplectic and complex manifolds. This allows us to construct many new invariants and get a new method to study these manifolds.