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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
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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 > Moscow-Beijing topology seminar Alterfold Topological Quantum Field Theory
Alterfold Topological Quantum Field Theory
Organizers
Vassily Manturov , Shiquan Ren , Zhe Yan Wan
Speaker
Zheng Wei Liu
Time
Wednesday, September 11, 2024 3:30 PM - 5:00 PM
Venue
A3-2-301
Online
Zoom 831 5020 0580 (141592)
Abstract
We will introduce the n-sphere function on n-dimensional lattice models and derive a spherical n-category from it. Then we introduce the alterfold construction of the n+1 topological quantum field theory from an n-sphere function with reflection positivity and finite entanglement rank. The alterfold TQFT has two colors A and B for the n+1 cell. The A-color theory contains a higher analogue of the Turaev TQFT and the B color theory contains a higher analogue of the Drinfeld center and the Reshetihkin-Turaev TQFT. In particular, we construct a 3-sphere function and a 3+1 alterfold TQFT of Ising type from it.
Speaker Intro
I am currently working on Quantum Fourier Analysis, Quantum Information and Subfactor Theory. I am also interested in category theory, harmonic analysis, knot theory, lower dimensional topology, operator algebras, representation theory in mathematics; and quantum field theory and condensed matter in physics. Website: https://ymsc.tsinghua.edu.cn/info/1031/2299.htm
Beijing Institute of Mathematical Sciences and Applications
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