컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0534 |
|---|---|
| 분류(Section) | Invited Talk |
| 분과(Session) | Topology (SS-07) |
| 영문제목 (Title(Eng.)) |
Higher topological complexity and hyperplane arrangements |
| 저자(Author(s)) |
Viet Dung Nguyen1 Institute of Mathematics, VAST, Hanoi, Vietnam1 |
| 초록본문(Abstract) | In 2003 Michael Farber introduced the notion of topological complexity $TC(X)$ of a path-connected topological space $X$ in connection to a problem of robot motion planning algorithm. It turns out to be the Schwarz genus of a specific fibration. Recently, Yuli Rudyak generalizes this notion to define the $n^{th}$ topological complexity $TC_n(X)$ of space $X$. In this talk, we investigate this generalization of Faber's notion. We computed numerical value of $TC_n$ for wedge product of spheres, compact Riemann surfaces of genus $g$, configuration spaces $\mathbb F_n(\mathbb R^m)$ and some others. We also consider $TC_n(M)$ for the complement $M$ of an arrangement of hyperplanes and will discuss the property of combinatorial determination of this invariant $TC_n(M)$. |
| 분류기호 (MSC number(s)) |
52C35, 14N20 |
| 키워드(Keyword(s)) | higher topological complexity, arrangement of hyperplanes |
| 강연 형태 (Language of Session (Talk)) |
English |