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From 3-manifolds to modular data

The Golden Hourglass by Craig Schaffer
January 18, 2022
1:50 pm - 2:45 pm
Zoom

Title:  From 3-manifolds to modular data

Speaker:  Yang Qiu (UC Santa Barbara)

Abstract:  The progress of TQFT has revealed connections between the algebraic world of tensor categories and the topological world of 3-manifolds, such as Reshetikhin-Turaev and Turaev-Viro theories. Motivated by M-theory in physics, Cho-Gang-Kim recently proposed another relation by outlining a program to construct modular data from certain classes of closed oriented 3-manifolds. In this talk, I will talk about our mathematical exploration of this program. This talk is based on the joint works: [Cui-Qiu-Wang, arXiv: 2101.01674], [Cui-Gustafson-Qiu-Zhang, arXiv: 2106.01959].

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Seminar - Quantum Symmetry