The minimal intersection numbers of loops on surfaces
演讲者
Xuezhi Zhao
时间
2024年03月27日 14:00 至 15:00
地点
A3-4-101
线上
Zoom 559 700 6085
(BIMSA)
摘要
Given two loops on a compact surfaces $F$, it is natural to ask: what is their minimal intersection number during homotopy classes? This number is usually said to be the geometric intersection number. In this talk, we shall explain an algorithmic treatment of such a problem: Determination of geometric intersection and self-intersection numbers of loops on surfaces. Some applications in geometric topology will be illustrated. Our integration have two parts: Nielsen fixed point theory and Gröbner-Shirshov basis.