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Umut Varolgunes:Mirror symmetry via Floer theoretic invariants
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https://www.youtube.com/watch?v=G2JfMD3Z9LA M-Seminar, Kansas State University Umut Varolgunes-Mirror symmetry via Floer theoretic invariants Umut Varolgunes (Bogazici University); April 7, 2023. Umut Varolgunes Homepage:https://umutvg.github.io/ Umut Varolgunes-《Mirror symmetry via Floer theoretic invariants》:https://www.math.ksu.edu/research/centers-groups/m-center/varolgunes_apr23.pdf I will discuss the notion of generalized Delzant subdomains of graded symplectic manifolds and their relative symplectic cohomology. Assuming that we have an involutive decomposition into such domains, I will construct a mirror formal scheme over the Novikov ring. The key is to be able to compute the invariants modulo T^hbar, where hbar is a positive constant depending on the decomposition, finiteness of boundary depth which leads to homology level completeness and an injectivity statement mirror to uniqueness of analytic continuation. Then I will assume the existence of a "homological section" and construct the HMS functor. I will end by discussing when one should expect this functor to be cohomologically full and faithful via the notion of local generation. Umut Varolgunes——SYZ for Looijenga interiors&Hacking Keating theorem:BV1FP411975A
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