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FIELD Math:Topology
DATE May 26 (Tue), 2020
TIME 15:30-17:30
PLACE Online
SPEAKER 강정수
HOST Kim, Joontae
INSTITUTE 서울대학교
TITLE Symplectic homology of convex domains and Clarke's duality
ABSTRACT

I will explain the construction of an action-preserving isomorphism between the Floer complex associated with a convex Hamiltonian function on a Euclidean space and the Morse complex of Clarke's dual action functional that is associated with the Fenchel-dual Hamiltonian. As a corollary, it is shown that the symplectic capacity from the symplectic homology of a convex domain with smooth boundary coincides with the minimal action of closed characteristics on its boundary. A motivation for this will also be briefly explained. This is joint work with A. Abbondandolo. (*Please contact the host for the invitation to online seminar.)

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