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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
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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 TQFT and Higher Symmetries Seminar Graphical calculus for anchored planar algebras and tricategories
Graphical calculus for anchored planar algebras and tricategories
Organizers
Ansi Bai , Chun Chen , Liang Kong , Yi Long Wang , Zhi Hao Zhang , Hao Zheng
Speaker
Brett Hungar
Time
Tuesday, November 26, 2024 10:00 AM - 11:45 AM
Venue
A3-2-301
Online
Zoom 468 248 1222 (BIMSA)
Abstract
Anchored planar algebras, a generalized notion of Vaughan Jones' planar algebras, have recently seen use in higher category theory, functional analysis, and TQFT applications. These algebras are equipped with a natural 3-dimensional graphical calculus. We compare this graphical calculus with the 3-dimensional graphical calculus associated to tricategories, and we show that anchored planar algebras can be thought of as living in a particular tricategory. This allows for more general techniques to be applied to anchored planar algebras and expands the types of diagrams that anchored planar algebras can interpret.
Beijing Institute of Mathematical Sciences and Applications
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