학과 세미나 및 콜로퀴엄
서의린 (서울대학교 수리과학부)콜로퀴엄
Title- Vertex algebras: Algebraic structures in 2D CFT
도영해 (경북대학교 수학과)콜로퀴엄
When machine learning meets nonlinear dynamics
조해란 (University of Bristol)확률 * 통계
TBD
Marian Aprodu (University of Bucharest, Department of Mathematics)콜로퀴엄
Koszul modules and resonance: from groups to vector bundles and syzygies
Ngaiming Mok (The University of Hong Kong, Department of Mathema)콜로퀴엄
Uniformization problems for uniruled projective subvarieties on Fano manifolds of Picard number 1
대학원생 세미나
편미분방정식 통합연구실 세미나
IBS-KAIST 세미나
AI수학대학원 세미나
MFRS 세미나
역문제 기초연구실 세미나
학술회의 및 워크샵
학생 뉴스
북마크
Research Highlights
게시판
동문 뉴스
Problem of the week
Trefoil to Figure-Eight by Crossing Changes
A knot is a simple closed curve in three-dimensional space. A diagram of a knot is a projection of the knot to the plane together with over/under information at each crossing. A crossing change is the operation of switching one crossing from over to under or from under to over.
Find up to three examples of sequences of knot diagrams that begin with a diagram of the trefoil knot and end with a diagram of the figure-eight knot, where each step is obtained from the previous diagram by a crossing change.
The obvious chains trefoil → unknot → figure-eight and trefoil → trefoil # figure-eight → figure-eight are not allowed.
(3 points will be given for three correct examples, 2 points for two correct examples, and 1 point for one correct example.)
