Symplectic Learning Seminar : Lefschetz Fibration 2 - Lefschetz fibrations and Symplectic homology

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Symplectic Learning Seminar : Lefschetz Fibration 2 - Lefschetz fibrations and Symplectic homology

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구분 사교기하학
일정 2025-11-21(금) 15:00~17:00
세미나실 129동 406호
강연자 배한울 (QSMS)
담당교수 강정수
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Title: Lefschetz fibration 2 - Lefschetz fibrations and Symplectic homology.
Abstract :
In this talk, I will review the symplectic homology associated with Lefschetz fibrations introduced by McLean. I will explain that the symplectic homology of a Lefschetz fibration is isomorphic to that of its total space viewed as a Liouville manifold. Furthermore, I will discuss a spectral sequence converging to the symplectic homology of a Lefchetz fibration, whose first page is described in terms of the fixed Floer homology of the monodromy map.

The main references for this talk are:
1. Mark McLean, Lefscehtz fibrations and symplectic homology.
2. Mark McLean, Symplectic homology of Lefschetz fibrations and Floer homology of the monodromy map.

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