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About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Staff
Administration
Academic Support
Research
Research Groups
Courses
Seminars
Join Us
Faculty
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Forum
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Accommodation
Transportation
Facilities
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News
News
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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 Loops and their complement in a surface
Loops and their complement in a surface
Organizers
Matthew Burfitt , Jing Yan Li , Jie Wu , Nan Jun Yang , Jia Wei Zhou
Speaker
Xuezhi Zhao
Time
Tuesday, June 24, 2025 3:00 PM - 4:00 PM
Venue
A3-4-301
Online
Zoom 482 240 1589 (BIMSA)
Abstract
The geometric intersection number of two loops on a surface is defined to be the minimal number of intersections of two loops which are respectively homotopic given two loops. Given a set of loop classes, we shall show that the geometric intersection numbers of all pairs of loop classes can be simultaneously realized. In this situation, the complement of these loops in the surface contains some polygons. We shall explain a method to estimate the number of polygons lying in the complements of these loops in the surface.
Beijing Institute of Mathematical Sciences and Applications
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