MATHEMATICAL PICTURE LANGUAGE
October 20, 2020 10:00 amI discuss some strategies for finding fusion rings of low rank (or if you prefer, fusion rules for a small number of objects) and corresponding tensor categories, or solutions to...
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MATHEMATICAL PICTURE LANGUAGE
October 13, 2020 10:00 amI shall report on a new approach to study some classes of quantum circuits and exactly solvable models. Concretely, using knots gives a unified framework to characterize two famous classes...
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MATHEMATICAL PICTURE LANGUAGE
October 6, 2020 10:00 amInspired by fractional quantum Hall physics and Tannaka-Krein duality, it is conjectured that every modular tensor category (MTC) or (2+1)-topological quantum field theory (TQFT) can be realized as the representation...
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MATHEMATICAL PICTURE LANGUAGE
September 29, 2020 10:00 amSubfactors and K-theory are useful mechanisms for understanding modular tensor categories and conformal field theories CFT. As part of this, one issue is to try and construct or reconstruct a...
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MATHEMATICAL PICTURE LANGUAGE
September 22, 2020 10:00 amFusion categories have been extensively studied by Mathematicians and have proved to have many important applications in quantum physics. A fusion category is completely determined by a set of F-symbols...
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MATHEMATICAL PICTURE LANGUAGE
September 15, 2020 10:00 amThis talk aims to summarize a project I was involved in during the past 5 years, which links together many areas in math, CS and physics. I hope to explain our...
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MATHEMATICAL PICTURE LANGUAGE
September 8, 2020 10:00 amDiscriminating between unknown objects in a given set is a fundamental task in experimental science. Suppose you are given a quantum system which is in one of two given states...
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MATHEMATICAL PICTURE LANGUAGE
September 1, 2020 10:00 amWe will briefly talk about recent developments on inequalities for infinite dimensional quantum symmetries. Zoom: https://harvard.zoom.us/j/779283357
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MATHEMATICAL PICTURE LANGUAGE
August 18, 2020 10:00 amA given compact Lie group, G, admits many left-invariant Riemannian metrics. Typically, they form a finite dimension cone L(G). Up to a multiplicative constant, the Riemannian measure for such metrics...
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MATHEMATICAL PICTURE LANGUAGE
August 11, 2020 10:00 amThe Eisenstein-Kronecker function is a useful object in number theory and physics. It is a tool for proving rationality for period integrals of cusp forms. It generates integration kernels of...
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