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강연자 오용근
소속 IBS, 포항공과대학교
date 2014-12-04

Gromov introduced the analytic method of pseudoholomorphic curves into the study of symplectic topology in the mid 80's and then Floer broke the conformal symmetry of the equation by twisting the equation by Hamiltonian vector fields.

We survey how the techniques of pseudoholomorphic curves have evolved from the construction of numerical invariants of Gromov-Witten invariants, via the homological invariant of Floer homology and to its categorification of Fukaya category as the basic homological algebra of symplectic algebraic topology.

If time permits, we will also mention a few applications of the machinery to problems of symplectic topology.


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List of Articles
카테고리 제목 소속 강연자
수학강연회 A new view of Fokker-Planck equations in finite and Infinite dimensional spaces file Bielefeld Univ./Purdue Univ. Michael Roeckner
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수학강연회 Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology file IBS, 포항공과대학교 오용근
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