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Extra Form
Lecturer 박정환
Dept. 카이스트 수리과학과
date Nov 11, 2021

 

A knot is a smooth embedding of an oriented circle into the three-sphere, and two knots are concordant if they cobound a smoothly embedded annulus in the three-sphere times the interval. Concordance gives an equivalence relation, and the set of equivalence classes forms a group called the concordance group. This group was introduced by Fox and Milnor in the 60's and has played an important role in the development of low-dimensional topology. In this talk, I will present some known results on the structure of the group. Also, I will talk about a knot that has infinite order in the concordance group, though it bounds a smoothly embedded disk in a rational homology ball. This is joint work with Jennifer Hom, Sungkyung Kang, and Matthew Stoffregen.

Atachment
Attachment '1'
List of Articles
Category Subject Dept. Lecturer
BK21 FOUR Rookies Pitch 2022-2 Rookies Pitch: Probability Theory (변성수) file KIAS 변성수
Math Colloquia Towards Trustworthy Scientific Machine Learning: Theory, Algorithms, and Applications file KAIST 신연종
Math Colloquia Elliptic equations with singular drifts in critical spaces file 서강대학교 김현석
Math Colloquia Contact topology of singularities and symplectic fillings file 순천대학교 권명기
BK21 FOUR Rookies Pitch 2022-2 Rookies Pitch: Representation Theory(이신명) file 수리과학부 이신명
BK21 FOUR Rookies Pitch 2022-2 Rookies Pitch: Representation Theory(허태혁) file QSMS 허태혁
BK21 FOUR Rookies Pitch 2022-2 Rookies Pitch: Harmonic Analysis (오세욱) file 고등과학원 오세욱
BK21 FOUR Rookies Pitch 2022-2 Rookies Pitch: Harmonic Analysis (함세헌) file 수학연구소 함세헌
Special Colloquia Combinatorics and Hodge theory file 미국 프린스턴대 교수, 한국 고등과학원 석학교수 허준이
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: Harmonic Analysis (Kalachand Shuin) file BK21 Kalachand Shuin
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch:Functional Analysis (정민구) file 고등과학원 정민구
Math Colloquia Regularity theory for non-autonomous elliptic equations in divergence form file 서강대학교 옥지훈
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: Algebraic Topology (송종백) file 고등과학원 송종백
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: Symplectic/Algebraic Geometry (좌동욱) file 고등과학원 좌동욱
Math Colloquia <2020년도 젊은 과학자상 수상 기념강연> Metastability of stochastic systems file 서울대학교 서인석
Math Colloquia Geometric Langlands theory: A bridge between number theory and physics file 서울대학교 유필상
Math Colloquia Noise-induced phenomena in stochastic heat equations file 포항공대 김건우
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: Functional Analysis (Wang Xumin) file 수학연구소 Wang Xumin
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: Probability, PDE (Ramil Mouad) file 수학연구소 Ramil Mouad
Math Colloquia Mirror symmetry of pairings file 숭실대학교 이상욱
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