Extra Form
강연자 박정환
소속 카이스트 수리과학과
date 2021-11-11


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.

첨부 '1'
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  2. Iwasawa main conjecture and p-adic L-functions

  3. Iwahori-Hecke algebras and beyond

  4. It all started with Moser

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  6. Introduction to Non-Positively Curved Groups

  7. Integer partitions, q-series, and Modular forms

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  11. Hybrid discontinuous Galerkin methods in computational science and engineering

  12. How to solve linear systems in practice

  13. High dimensional nonlinear dynamics

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

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  16. Hamiltonian dynamics, Floer theory and symplectic topology

  17. Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology

  18. Green’s function for initial-boundary value problem

  19. Global result for multiple positive radial solutions of p-Laplacian system on exterior domain

  20. Geometry, algebra and computation in moduli theory

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