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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 Entropy of symplectic automorphisms file 서강대학교 김준태
수학강연회 Equations defining algebraic curves and their tangent and secant varieties file KAIST 박진형
수학강연회 Essential dimension of simple algebras file KAIST 백상훈
수학강연회 Existence of positive solutions for φ-Laplacian systems file 이용훈 수학강연회,특별강연,대중강연
수학강연회 Faithful representations of Chevalley groups over quotient rings of non-Archimedean local fields file Univ. Bremen Keivan Mallahi-Karai
수학강연회 Fano manifolds of Calabi-Yau Type file 서울대학교 Atanas Iliev
수학강연회 Fefferman's program and Green functions in conformal geometry file 서울대학교 Raphaël Ponge
수학강연회 Fermat´s last theorem file 카이스트 최서현
수학강연회 Fixed points of symplectic/Hamiltonian circle actions file 부산대 수학과 장동훈
수학강연회 Free boundary problems arising from mathematical finance file 경희대학교 전준기
수학강연회 Freudenthal medal, Klein medal 수상자의 수학교육이론 file 서울대 수학교육과 권오남
수학강연회 From mirror symmetry to enumerative geometry file 서울대학교 오정석
수학강연회 Gaussian free field and conformal field theory file 서울대학교 강남규
수학강연회 Generalized multiscale HDG (hybridizable discontinuous Galerkin) methods for flows in highly heterogeneous porous media file 육군사관학교 문미남
수학강연회 Geometric Langlands theory: A bridge between number theory and physics file 서울대학교 유필상
수학강연회 Geometric structures and representation spaces file 서울대학교 이계선
수학강연회 Geometry, algebra and computation in moduli theory file 서울대 현동훈
수학강연회 Global result for multiple positive radial solutions of p-Laplacian system on exterior domain file 부산대학교 이용훈
수학강연회 Green’s function for initial-boundary value problem file National Univ. of Singapore Shih-Hsien Yu
수학강연회 Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology file IBS, 포항공과대학교 오용근
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