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Symplectic topology and mirror symmetry of partial flag manifolds

김수현 0 1940
구분 수학강연회
일정 2021-10-28 16:00 ~ 17:00
강연자 김유식 (부산대학교)
기타
담당교수 현동훈
※ Zoom 병행 https://snu-ac-kr.zoom.us/j/89971577000 (Zoom ID 899 7157 7000) Soon after Gromov’s applications of pseudo-holomorphic curves to symplectic topology, Floer invented an infinite-dimensional Morse theory by analyzing moduli spaces of pseudo-holomorphic curves to make substantial progress on Arnold’s conjecture. Now, Floer theory has been one of the most essential tools to study mirror symmetry as Fukaya category constructed from Floer theory serves as one side of the duality relation proposed by Kontsevich, called homological mirror symmetry conjecture. In this talk, we will review some aspects of developments of symplectic topology and mirror symmetry, and discuss current developments of Floer theory of partial flag varieties.

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Research Institute of Mathematics
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