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