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Extra Form
강연자 오용근
소속 University of Wisconsin
date 2009-11-26
In this lecture, I will convey subtle interplay between dynamics of Hamiltonian flows and La-grangian intersection theory via the analytic theory of Floer homology in symplectic geometry. I will explain how Floer homology theory (`closed string version') extracts some Morse theoretic invariants, so called `spectral invariants' of Hamiltonian flows which in turn leads to Entov-Polterovich's construction of partial symplectic quasi-states which detect intersection property of certain coisotropic objects. We then relate this study to the study of intersection property of Lagrangian fibers of toric manifolds and its Landau-Ginzburg-type potential carried out by Fukaya, Ohta, Ono and myself via Lagrangian Floer theory (`open string version'). If time permits, I will mention some implication of this study on the simpleness question of the area-preserving homeomorphism group of the two-sphere (and of the two-disc) in dynamical systems.
Atachment
첨부 '1'
List of Articles
카테고리 제목 소속 강연자
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
수학강연회 Hamiltonian dynamics, Floer theory and symplectic topology file University of Wisconsin 오용근
수학강연회 Heavy-tailed large deviations and deep learning's generalization mystery file Northwestern University 이창한
수학강연회 High dimensional nonlinear dynamics file 경북대학교 도영해
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