SGU Introductory Lecture “Knots and Braids”
Knots and Braids Prof. Vaughan F. R. Jones
Course Description
Mathematical knots are a simplified model of everyday knots in the same way that the straight lines of geometry are a mathematical model for an everyday idea. So a knot in mathspeak becomes an infinitely differentiable closed curve in ordinary three dimensional space. Their study began in earnest in the late 19th century and continues today.
Mathematical braids are also a simplified model of everyday braids such as those one ties in one’s hair, in a belt or to make rope. We will discuss both these concepts and show how the braids admit a group structure while knots do not. A simple geometrical operation allows one to obtain knots from braids and thereby take advantage of the group structure to study knots.
講義詳細
- 年度
- 2015年度
- 開催日
- 2015年7月03日
- 開講部局名
- 理学研究科
- 使用言語
- 英語
- 教員/講師名
- Vaughan F. R. Jones(Distinguished Visiting Professor, Kyoto University / Stevenson Distinguished Professor, Vanderbilt University)
- 開催場所
- Room 127, Graduate School of Science Bldg No 3