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.

Attachment '1'
List of Articles
Category Subject Dept. Lecturer
Math Colloquia Hybrid discontinuous Galerkin methods in computational science and engineering file 연세대 박은재
Math Colloquia Idempotents and topologies file University of Waterloo Nico Spronk
Math Colloquia Ill-posedness for incompressible Euler equations at critical regularit file 서울대학교 정인지
Math Colloquia Infinite order rationally slice knots file 카이스트 수리과학과 박정환
Math Colloquia Integer partitions, q-series, and Modular forms file 서울과학기술 대학 김병찬
Math Colloquia Introduction to Non-Positively Curved Groups file KAIST 김상현
Math Colloquia It all started with Moser file Univ. of Wisconsin/포항공대 Paul Rabinowitz
Math Colloquia Iwahori-Hecke algebras and beyond file University of Picardie Jules-Verne, Amiens 김성순
Math Colloquia Iwasawa main conjecture and p-adic L-functions file 포항공과대학교 박지훈
Math Colloquia L-function: complex vs. p-adic file 충북대학교 선해상
Math Colloquia Lie group actions on symplectic manifolds file 성균관대학교 수학교육과 조윤형
Math Colloquia Limit computations in algebraic geometry and their complexity file POSTECH 현동훈
Math Colloquia Mathemaics & Hedge Fund file 지큐자산운용 김택근
Math Colloquia Mathematical Models and Intervention Strategies for Emerging Infectious Diseases: MERS, Ebola and 2009 A/H1N1 Influenza file 건국대학교 교수, 현 산업응용수학회 회장 정은옥
Math Colloquia Mathematics, Biology and Mathematical Biology file 부산대학교 수학과 정일효
Math Colloquia Mechanization of proof: from 4-Color theorem to compiler verification file 서울대 컴퓨터공학부 허충길
Math Colloquia Mirror symmetry of pairings file 숭실대학교 이상욱
Math Colloquia Mixed type PDEs and compressible flow file POSTECH 배명진
Math Colloquia Mixing time of random processes file 서울대 서인석
Math Colloquia Noise-induced phenomena in stochastic heat equations file 포항공대 김건우
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