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Extra Form
강연자 강정수
소속 서울대
date 2017-09-07

Symplectic geometry has one of its origins in Hamiltonian dynamics. In the late 60s Arnold made a fundamental conjecture about the minimal number of periodic orbits of Hamiltonian vector fields. This is a far-reaching generalization of Poincaré's last geometric theorem and completely changed the field of symplectic geometry. In the last 30 years symplectic geometry has been tremendously developed due to the theory of holomorphic curves by Gromov and Floer homology theory by Floer. I will give a gentle introduction to the field of symplectic geometry and explain how modern methods give rise to existence results for periodic orbits and discover rigidity phenomena in symplectic geometry.


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List of Articles
카테고리 제목 소속 강연자
수학강연회 On the resolution of the Gibbs phenomenon file SUNY Buffalo 정재훈
수학강연회 On the Schauder theory for elliptic PDEs file 연세대학교 김세익
수학강연회 One and Two dimensional Coulomb Systems file 카이스트 폴정
수학강연회 Partial differential equations with applications to biology file POSTECH 황형주
수학강연회 Periodic orbits in symplectic geometry file 서울대 강정수
특별강연 Persistent Homology file Stanford University Gunnar E. Carlsson
수학강연회 Q-curvature in conformal geometry file 서강대 Pak Tung Ho
수학강연회 Quantitative residual non-vanishing of special values of various L-functions file UNIST 선해상
수학강연회 Quantum Dynamics in the Mean-Field and Semiclassical Regime file Ecole Polytechnique Francoise Golse
수학강연회 Quasi-homomorphisms into non-commutative groups file Kyoto Univ. Koji Fujiwara
특별강연 Queer Lie Superalgebras file Univ. of Texas, Arlington Dimitar Grantcharov
수학강연회 Random conformal geometry of Coulomb gas formalism file 서울대학교 강남규
수학강연회 Random matrices and operator algebras file 서울대학교 수학교육과 윤상균
수학강연회 Random walks in spaces of negative curvature file Yale Univ. Giulio Tiozzo
수학강연회 Randomness of prime numbers file 서울대학교 임선희
수학강연회 Recent progress on the Brascamp-Lieb inequality and applications file Saitama University Neal Bez
수학강연회 Recommendation system and matrix completion: SVD and its applications (학부생을 위한 강연) file 서울대 전기공학부 정교민
수학강연회 Regularity for non-uniformly elliptic problems file 경북대학교 오제한
특별강연 Regularity of solutions of Hamilton-Jacobi equation on a domain file ENS-Lyon Albert Fathi
수학강연회 Regularity theory for non-autonomous elliptic equations in divergence form file 서강대학교 옥지훈
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