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Symmetry as a shadow of topological order

MATHEMATICAL PICTURE LANGUAGE

December 8, 2020      10:00 am
Speaker: Xiao-Gang Wen - MIT

In this talk, I will present a new way to look at symmetry. We show that symmetry can be viewed as a non-invertible gravitational anomaly, and a non-invertible gravitational anomaly...
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Topological order, tensor networks and subfactors

MATHEMATICAL PICTURE LANGUAGE

December 1, 2020      10:00 am
Speaker: Yasuyuki Kawahigashi - University of Tokyo

We present recent progress on studies of 2-dimensional topological order in terms of tensor networks and its connections to subfactor theory. We explain how Drinfel'd centers and higher relative commutants...
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Learning to Unknot

MATHEMATICAL PICTURE LANGUAGE

November 10, 2020      10:00 am
Speaker: Sergei Gukov - California Institute of Technology

How does a child learn to speak, without prior direct communication, nor with having dictionary to translate words from another language? How do we learn to play chess, with no...
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Learning to Unknot

MATHEMATICAL PICTURE LANGUAGE

November 10, 2020      10:00 am
Speaker: Sergei Gukov - California Institute of Technology

How does a child learn to speak, without prior direct communication, nor with having dictionary to translate words from another language? How do we learn to play chess, with no...
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On the classification of topological orders with finite internal symmetries

MATHEMATICAL PICTURE LANGUAGE

November 3, 2020      10:00 am
Speaker: Liang Kong - SIQSE, Southern University of Science and Technology

In this talk, I present recent joint work with Tian Lan, Xiao-Gang Wen, Zhi-Hao Zhang and Hao Zheng (arXiv:2003.08898). We propose a mathematical theory of symmetry protected trivial (SPT) order,...
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On the classification of topological orders with finite internal symmetries

MATHEMATICAL PICTURE LANGUAGE

November 3, 2020      10:00 am
Speaker: Liang Kong - SIQSE, Southern University of Science and Technology

In this talk, I present recent joint work with Tian Lan, Xiao-Gang Wen, Zhi-Hao Zhang and Hao Zheng (arXiv:2003.08898). We propose a mathematical theory of symmetry protected trivial (SPT) order,...
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The quest of a finite purely quantum group

MATHEMATICAL PICTURE LANGUAGE

October 27, 2020      10:00 am
Speaker: Sébastien Palcoux - Tsinghua University

An important open problem is whether there exists a finite quantum group which cannot be cooked up from (classical) finite groups. A finite purely quantum group would be a finite dimensional Hopf C*-algebra (Kac algebra) K...
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