https://www.math.snu.ac.kr/board/files/attach/images/701/ff97c54e6e21a4ae39315f9a12b27314.png
Extra Form
Lecturer 오용근
Dept. University of Wisconsin
date Nov 26, 2009
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
Attachment '1'
List of Articles
Category Subject Dept. Lecturer
Math Colloquia Congruences between modular forms file 서울대 유화종
Math Colloquia Geometric Langlands theory: A bridge between number theory and physics file 서울대학교 유필상
Math Colloquia <학부생을 위한 강연> 수학과 보험산업 file 라이나생명 유신옥
Math Colloquia 학부생을 위한 강연: 건축과 수학 file UI 건축사무소 위진복
Math Colloquia Regularity theory for non-autonomous elliptic equations in divergence form file 서강대학교 옥지훈
Math Colloquia Counting circles in Apollonian circle packings and beyond file Brown Univ. 오희
Math Colloquia Regularity for non-uniformly elliptic problems file 경북대학교 오제한
Math Colloquia From mirror symmetry to enumerative geometry file 서울대학교 오정석
BK21 FOUR Rookies Pitch 2023-1 Algebraic Combinatorics (오재성) file KIAS 오재성
Math Colloquia Hamiltonian dynamics, Floer theory and symplectic topology file University of Wisconsin 오용근
Special Colloquia A wrapped Fukaya category of knot complement and hyperbolic knot file 포항공대 오용근
Math Colloquia Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology file IBS, 포항공과대학교 오용근
Math Colloquia Contact instantons and entanglement of Legendrian links file IBS-CGP /POSTECH 오용근
BK21 FOUR Rookies Pitch 2022-2 Rookies Pitch: Harmonic Analysis (오세욱) file 고등과학원 오세욱
Math Colloquia What happens inside a black hole? file 고등과학원 오성진
Math Colloquia <학부생을 위한 강연> 사색 정리를 포함하는 Hadwiger의 추측의 변형에 관하여 file KAIST 엄상일
Math Colloquia 학부생을 위한 강연회: 통신의 New Trend, 그리고 Big Data file KT 전무 양현미
Math Colloquia <학부생을 위한 ɛ 강연> A mathematical approach to xEV battery system file LG화학 안형준
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: PDE, Emergent Dynamics (안현진) file 수학연구소 안현진
Math Colloquia <학부생을 위한 ε 강연> 압축센싱과 행렬완성 file 서울대 심병효
Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Next
/ 15