MATHEMATICAL PICTURE LANGUAGE
March 9, 2021 10:00 amOne of the most fascinating aspects about non-commutative spaces (aka von Neumann algebras), is the way their building data, which is often geometric in nature, impacts on the properties of their...
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MATHEMATICAL PICTURE LANGUAGE
March 2, 2021 10:00 amPolyakov introduced Liouville Conformal Field theory (LCFT) in 1981 as a way to put a naturalmeasure on the set of Riemannian metrics over a two dimensional manifold. Ever since, the work of Polyakov...
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MATHEMATICAL PICTURE LANGUAGE
February 23, 2021 9:30 amBy developing high-performance quantum light sources, the multi-photon interference has been scaled up to implement Boson sampling with up to 76 photons out of a 100-mode interferometer, which yields a...
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MATHEMATICAL PICTURE LANGUAGE
February 16, 2021 10:00 amConfusingly for the uninitiated, experts in infinite-dimensional category theory make use of different definitions of an ∞-category, and theorems in the ∞-categorical literature are often proven "analytically", in reference to...
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MATHEMATICAL PICTURE LANGUAGE
February 9, 2021 10:00 amI will examine the many-body localization (MBL) phase transition in one-dimensional quantum systems with quenched randomness. Having demonstrated the existence of the MBL phase at strong disorder, under a level-statistics...
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MATHEMATICAL PICTURE LANGUAGE
February 2, 2021 10:00 amI will report on a recent joint work with Sorin Popa in which we undertake a systematic study of W*-rigidity paradigms for the embedding relation between II1 factors and their...
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MATHEMATICAL PICTURE LANGUAGE
January 26, 2021 10:00 amDesigning encoding and decoding circuits to send messages reliably over many uses of a noisy channel is a central problem in communication theory. When studying the optimal transmission rates achievable...
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MATHEMATICAL PICTURE LANGUAGE
January 19, 2021 10:00 amOne of the central problems in the study of deep learning theory is to understand complexity of the neural networks. In this talk, we will introduce the topological entropy from...
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MATHEMATICAL PICTURE LANGUAGE
January 12, 2021 10:00 amSchur functions serve as characters of representations of unitary (and general linear) groups; the multiplicative structure of Schur functions determines the fusion rules for representations of unitary groups. We will...
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MATHEMATICAL PICTURE LANGUAGE
January 5, 2021 10:00 amDoes quantum theory impose any limits on how accurately we can map out spacetime and, if yes, what are they? This question has been studied already in the early days...
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