The minimal intersection numbers of loops on surfaces
Organizers
Speaker
Xuezhi Zhao
Time
Wednesday, March 27, 2024 2:00 PM - 3:00 PM
Venue
A3-4-101
Online
Zoom 559 700 6085
(BIMSA)
Abstract
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.