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About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Staff
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
Students
Events
Conferences
Workshops
Forum
Life @ BIMSA
Accommodation
Transportation
Facilities
Tour
News
News
Announcement
Downloads
Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > BIMSA Topology Seminar The minimal intersection numbers of loops on surfaces
The minimal intersection numbers of loops on surfaces
Organizers
Matthew Burfitt , Jing Yan Li , Jie Wu , Jia Wei Zhou
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.
Beijing Institute of Mathematical Sciences and Applications
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