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Homotopy theory of symplectic and complex manifolds


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.