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Extra Form
강연자 오용근
소속 IBS-CGP /POSTECH
date 2022-11-24

 

We introduce a conformally invariant nonlinear sigma model on the bulk of contact manifolds with boundary condition on the Legendrian links in any odd dimension. We call any finite energy solution a contact instanton. We also explain its Hamiltonian-perturbed equation and establish the Gromov-Floer-Hofer type convergence result for (Hamiltonian-perturbed) contact instantons of finite energy and construct its compactification of the moduli space. Then we explain how we can apply this analytical machinery in the study of contact topology and contact Hamiltonian dynamics. As an example, we explain our proof of a conjecture of Sandon and Shelukhin on the translated points of contactomorphisms on compact contact manifold. This is the contact analog to the Arnold's conjecture type in symplectic geometry.

 

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첨부 '1'
List of Articles
카테고리 제목 소속 강연자
수학강연회 Conformal field theory in mathematics file 고등과학원 강남규
수학강연회 Congruences between modular forms file 서울대 유화종
수학강연회 Connectedness of a zero-level set as a geometric estimate for parabolic PDEs file KAIST 김용정
수학강연회 Connes's Embedding Conjecture and its equivalent file RIMS Narutaka Ozawa
수학강연회 Conservation laws and differential geometry file Univ. of Wisconsin Marshall Slemrod
수학강연회 Contact Homology and Constructions of Contact Manifolds file 서울대 Otto van Koert
수학강연회 Contact instantons and entanglement of Legendrian links file IBS-CGP /POSTECH 오용근
수학강연회 Contact topology of singularities and symplectic fillings file 순천대학교 권명기
수학강연회 Convex and non-convex optimization methods in image processing file Hong Kong Baptist University Michael Ng
수학강연회 Counting circles in Apollonian circle packings and beyond file Brown Univ. 오희
수학강연회 Counting number fields and its applications file UNIST 조재현
수학강연회 Creation of concepts for prediction models and quantitative trading file Haafor 이승환
수학강연회 Deformation spaces of Kleinian groups and beyond file Osaka University Kenichi Ohshika
수학강연회 Descent in derived algebraic geometry file 서강대학교 조창연
수학강연회 Diophantine equations and moduli spaces with nonlinear symmetry file 서울대학교 황준호
수학강연회 Elliptic equations with singular drifts in critical spaces file 서강대학교 김현석
수학강연회 Entropies on covers of compact manifolds file CNRS (France) François Ledrappier
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
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