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'
  1. Regularity theory for non-autonomous elliptic equations in divergence form

  2. <2020년도 젊은 과학자상 수상 기념강연> Metastability of stochastic systems

  3. Geometric Langlands theory: A bridge between number theory and physics

  4. Noise-induced phenomena in stochastic heat equations

  5. Mirror symmetry of pairings

  6. A dissipative effect on some PDEs with physical singularity

  7. <학부생을 위한 ɛ 강연> Secure computation: Promise and challenges

  8. Geometric structures and representation spaces

  9. <정년퇴임 기념강연> 리만 가설에 관련된 옌센 다항식의 영점

  10. 16Nov
    by 김수현
    in Math Colloquia

    Infinite order rationally slice knots

  11. Random matrices and operator algebras

  12. Symplectic topology and mirror symmetry of partial flag manifolds

  13. 돈은 어떻게 우리 삶에 돈며들었는가? (불확실성 시대에 부는 선형적으로 증가하는가?)

  14. <학부생을 위한 ɛ 강연> Mathematics and music: Pythagoras, Bach, Fibonacci and AI

  15. Topological surgery through singularity in mean curvature flow

  16. Heavy-tailed large deviations and deep learning's generalization mystery

  17. Diophantine equations and moduli spaces with nonlinear symmetry

  18. <정년퇴임 기념강연> Hardy, Beurling, and invariant subspaces

  19. <정년퇴임 기념강연> The Elements of Euclid

  20. On circle diffeomorphism groups

Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 Next
/ 11