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Extra Form
Lecturer 오용근
Dept. IBS-CGP /POSTECH
date Nov 24, 2022

 

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.

 

Atachment
Attachment '1'
List of Articles
Category Subject Dept. Lecturer
Math Colloquia An introduction to hyperplane arrangements file 서울대 이승진
Math Colloquia <학부생을 위한 ɛ 강연> Convergence of Fourier series and integrals in Lebesgue spaces file 서울대 이상혁
Math Colloquia Mirror symmetry of pairings file 숭실대학교 이상욱
Math Colloquia Trends to equilibrium in collisional rarefied gas theory file 포항공과대학교 이동현
Math Colloquia 학부학생을 위한 강연회: 기하학과 우주론 file 홍익대학교 이남훈
Math Colloquia Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms file Univ. of Connecticut 이규환
Math Colloquia Geometric structures and representation spaces file 서울대학교 이계선
Math Colloquia Seifert fiberings file University of Oklahoma 이경배
Math Colloquia Random matrices and operator algebras file 서울대학교 수학교육과 윤상균
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 newfile 경북대학교 오제한
Math Colloquia From mirror symmetry to enumerative geometry file 서울대학교 오정석
Math Colloquia Hamiltonian dynamics, Floer theory and symplectic topology file University of Wisconsin 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
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