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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 Commutator subgroups and toric topology
Commutator subgroups and toric topology
Organizers
Matthew Burfitt , Jing Yan Li , Jie Wu , Nan Jun Yang , Jia Wei Zhou
Speaker
Fedor Vylegzhanin
Time
Tuesday, April 29, 2025 1:30 PM - 2:30 PM
Venue
A3-4-301
Online
Zoom 482 240 1589 (BIMSA)
Abstract
A right-angled Coxeter group (RACG) is generated by a set of involutions, some of which commute. It turns out that classifying spaces for RACGs and their commutator subgroups have explicit CW-models, provided by the theory of polyhedral products: those are real Davis-Januszkiewicz spaces and real moment-angle complexes, respectively. This allowed Panov and Veryovkin to give a minimal set of generators for the commutator subgroup, and to study the case when this subgroup is free. Following the idea of Li Cai, I will describe another minimal set of generators and a small sufficient set of relations between them. More generally, these results apply to Cartesian subgroups of graph products of groups.
Beijing Institute of Mathematical Sciences and Applications
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