Sectorial Decompositions of Symmetric Products and Homological Mirror Symmetry

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Sectorial Decompositions of Symmetric Products and Homological Mirror Symmetry

이동호(2018-26173) 0 576
구분 사교기하학
일정 2025-12-01(월) 14:00~16:00
세미나실 129동 309호
강연자 Xinle Dai (Harvard University)
담당교수 수리과학부
기타
Symmetric products of Riemann surfaces play a crucial role in symplectic geometry and low-dimensional topology. They are key to defining Heegaard Floer homology and serve as important examples of Liouville manifolds when the surfaces are open. In this talk, I will present my work on the symplectic topology of these spaces using Liouville sectorial techniques, along with examples and applications of these decompositions in the context of homological mirror symmetry.

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