数理情報科学特別講義II   Special Lecture on Mathematical and Information Sciences II

文字サイズ 

担当教員
Michael Sullivan 
使用教室
火7-8(W832)  金5-6(W832)  
単位数
講義:2  演習:0  実験:0
講義コード
75006
シラバス更新日
2012年9月25日
講義資料更新日
2012年9月21日
学期
後期

講義概要

Title:Topology and Dynamics 3-Dimensions.

Lectures will cover the following articles I have written:
-Trefoil Surgery, preprint.
- Visually building Smale flows in S^3, Topology & Its Applications, 106 (2000), no. 1, 1--19.
- Knot Factoring, Mathematics Monthly, April 2000.

講義の目的

To learn a basics of topology and dynamics in 3-dimensions.

講義計画

The lecture starts on January 8th 2013 and meets every
Tuesday 15:05-16:35 and Friday 13:20-14:50 up to
February 8th.

教科書・参考書等

Some lectures may draw from the monograph:

Knots and Links in Three-Dimensional Flows
R. W. Ghrist, P. J. Holmes, M. C. Sullivan
Lecture Notes in Mathematics, Volume 1654.
Springer-Verlag. 208 pages.
ISBN # 3-540-62628-X.

These can all be found free on line.

関連科目・履修の条件等

Prerequisites: A beginning knowledge of topology as might be acquired in a real analysis course: continuity of functions and open, closed and compact sets.

成績評価

To be discussed at the first lecture.

担当教員の一言

Students may be asked to give voluntary short presentations.

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