This $194,865 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on Fukaya categories of complex symplectic manifolds by the Principal Investigator at Harvard University. The project aims to study the algebraic structures associated with symplectic resolutions, with a focus on developing microlocal sheaf theory techniques to better understand the connections between Fukaya categories and representation theory. Additionally, the PI will mentor undergraduate and graduate students, and develop publicly available lecture notes to help train the next generation of mathematicians in this area. The award period runs from August 1, 2023 to July 31, 2026.
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