https://www.math.snu.ac.kr/board/files/attach/images/701/ff97c54e6e21a4ae39315f9a12b27314.png
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.

Atachment
첨부 '1'
  1. 학부생을 위한 ε 강연회: Sir Isaac Newton and scientific computing

    아이작 뉴턴의 계산과학에 관한 업적을 소개한다.
    Category수학강연회 소속서울대학교 강연자신동우
    Read More
  2. Existence of positive solutions for φ-Laplacian systems

    SNU-LeeAbstract.pdf
    Category수학강연회 소속이용훈 강연자수학강연회,특별강연,대중강연
    Read More
  3. 2021-2 Rookies Pitch: Regularity for PDEs (수미야)

    CategoryBK21 FOUR Rookies Pitch 소속서울대학교 강연자수미야
    Read More
  4. 학부생을 위한 강연: Choi's orthogonal Latin Squares is at least 61 years earlier than Euler's

    조선시대 영의정을 지낸 최석정(1646-1715)은 그의 저서 구수략에 여러 크기의 직교라틴방진을 남겼는데 이는 combinatorial mathematics의 효시로 알려진 Leonhard Euler(1707?1783) 의 직교라틴방진보다도 적어도 61년이 앞서는 기록이다. 놀랍게도 최석정이...
    Category수학강연회 소속연세대학교 강연자송홍엽
    Read More
  5. 2022-1 Rookies Pitch: Algebraic Topology (송종백)

    CategoryBK21 FOUR Rookies Pitch 소속고등과학원 강연자송종백
    Read More
  6. 행렬함수 Permanent의 극소값 결정과 미해결 문제들

    볼록다면체에서 permanent 함수의 최소값은 얼마인가? 그 때의 최소행렬은 어떤 형태인가? 그리고 이중확률구조를 갖는 행렬들에 대하여 제약조건이 주어지면 볼록다면체의 면 위에서 permanent 함수의 최소값들은 어떻게 결정하는가? 등에 관하여 연구된 내용...
    Category수학강연회 소속제주대학교/서울대학교 강연자송석준
    Read More
  7. L-function: complex vs. p-adic

    Several L-functions with the names Dirichlet, Dedekind, Elliptic, and so on usually have p-adic counterparts, so called p-adic L-functions, which share many similar properties such as an evaluation formula at s=1, class number formula, and e...
    Category수학강연회 소속충북대학교 강연자선해상
    Read More
  8. Quantitative residual non-vanishing of special values of various L-functions

    Non-vanishing modulo a prime of special values of various $L$-functions are of great importance in studying structures of relevant arithmetic objects such as class groups of number fields and Selmer groups of elliptic curves. While there hav...
    Category수학강연회 소속UNIST 강연자선해상
    Read More
  9. Mixing time of random processes

    The general theory implies that the distribution of an irreducible Markov chain converges to its stationary distribution as time diverges to infinity. The speed of corresponding convergence is a significant issue in the study of mathematical...
    Category수학강연회 소속서울대 강연자서인석
    Read More
  10. <2020년도 젊은 과학자상 수상 기념강연> Metastability of stochastic systems

    Metastability란 random process가 여러 개의 안정된 상태를 가질 때 반드시 나타나는 현상으로, 수리물리학이나 화학의 여러 모형들은 물론 딥러닝의 알고리즘 등 다양한 곳에서 공통적으로 나타나는 현상이다. 본 강연에서는 이 Metastability를 수학적으로...
    Category수학강연회 소속서울대학교 강연자서인석
    Read More
  11. W-algebras and related topics

    A W-algebra is introduced as a symmetry algebra in 2-dimensional conformal field theory. Mathematical realization of a W-algebra was introduced by the theory of vertex algebras. Especially, W-algebras related to Lie superalgebras have been s...
    Category수학강연회 소속서울대학교 강연자서의린
    Read More
  12. 2023-2 Differential Geometry (서동휘)

    CategoryBK21 FOUR Rookies Pitch 소속수학연구소 강연자서동휘
    Read More
  13. 2022-1 Rookies Pitch: Geometric Group Dynamics (서동균)

    CategoryBK21 FOUR Rookies Pitch 소속수학연구소 강연자서동균
    Read More
  14. Variational Methods without Nondegeneracy

    If a problem has an approximate solution, we try to get some information of the linearized kernel of the problem at the approximate solution to find a real solution. In this talk, I would like to introduce a different approach which is purel...
    Category수학강연회 소속POSTECH 강연자변재형
    Read More
  15. 학부생을 위한 강연: Introduction to partial differential equations

    We discuss on why we study partial differential equations.
    Category수학강연회 소속서울대학교 강연자변순식
    Read More
  16. Theory and applications of partial differential equations

    I will talk in general about theory and applications of partial differential equations. A recent progress in the regularity theory for nonlinear problems will be also discussed, including uniform estimates of solutions in various function sp...
    Category수학강연회 소속서울대 강연자변순식
    Read More
  17. 2022-2 Rookies Pitch: Probability Theory (변성수)

    CategoryBK21 FOUR Rookies Pitch 소속KIAS 강연자변성수
    Read More
  18. 1 is big enough to understand 3

    We discuss how the closed connected 1-dimensional manifold, namely the circle, can help understanding 3-manifolds. We describe so-called the universal circle proposed by a lengendary mathematician, William Thurston, and discuss certain gene...
    Category수학강연회 소속카이스트 강연자백형렬
    Read More
  19. Essential dimension of simple algebras

    The notion of essential dimension was introduced by Buhler and Reichstein in the late 90s. Roughly speaking, the essential dimension of an algebraic object is the minimal number of algebraically independent parameters one needs to define the...
    Category수학강연회 소속KAIST 강연자백상훈
    Read More
  20. <학부생을 위한 ɛ 강연> Introduction to the incompressible Navier-Stokes equations

    In this talk, I will briefly introduce some properties of the incompressible Navier-Stokes equations. Then, I will review some classical results obtained by harmonic analysis tools.
    Category수학강연회 소속UNIST 강연자배한택
    Read More
Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Next
/ 15