Beijing Institute of Mathematical Sciences and Applications Beijing Institute of Mathematical Sciences and Applications

  • 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
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 algebraic structure of cohomology of 4-dimensional toric orbifolds
The algebraic structure of cohomology of 4-dimensional toric orbifolds
Organizers
Matthew Burfitt , Jing Yan Li , Jie Wu , Nan Jun Yang , Jia Wei Zhou
Speaker
Larry So
Time
Thursday, February 27, 2025 2:30 PM - 3:30 PM
Venue
A3-4-301
Online
Zoom 204 323 0165 (BIMSA)
Abstract
A toric orbifold $X$ is characterized by a simple polytope $P$ and a characteristic function $\lambda$. A fundamental problem is to understand the relationship between the topology of $X$, the combinatorial data of the pair $(P,\lambda)$, and the algebraic structure of its cohomology $H^*(X)$.

In this talk, I will present a formula that expresses cup products in the cohomology of a 4-dimensional toric orbifold $X$ in terms of the pair $(P,\lambda)$. Notably, when $X$ is a toric surface, this formula recovers the "dual" of the intersection form from Intersection Theory. In addition, this leads to a criterion for the triviality of Steenrod operations on the cohomology of $X$, which allows us to extract topological information about $X$.

This talk is based on joint work with Xin Fu and Songbaek Song.
Beijing Institute of Mathematical Sciences and Applications
CONTACT

No. 544, Hefangkou Village Huaibei Town, Huairou District Beijing 101408

北京市怀柔区 河防口村544号
北京雁栖湖应用数学研究院 101408

Tel. 010-60661855
Email. administration@bimsa.cn

Copyright © Beijing Institute of Mathematical Sciences and Applications

京ICP备2022029550号-1

京公网安备11011602001060 京公网安备11011602001060