MATHEMATICAL PICTURE LANGUAGE
May 18, 2021 10:00 amOne of the hottest sub-topics of machine learning in recent times has been Self-Supervised Learning (SSL). In SSL, a learning machine captures the dependencies between input variables, some of which...
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MATHEMATICAL PICTURE LANGUAGE
May 4, 2021 10:00 amLieb-Thirring inequalities are a mathematical expression of the uncertainty and exclusion principles in quantum mechanics. They were introduced by Lieb and Thirring in 1975 in their proof of stability of...
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MATHEMATICAL PICTURE LANGUAGE
April 27, 2021 10:00 amWe consider spin-S quantum spin chains with a family of O(2S+1)-invariant nearest-neighbor interactions and discuss the ground state phase diagram of this family of models. Using a graphical representation for...
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MATHEMATICAL PICTURE LANGUAGE
April 20, 2021 10:00 amNuclear Magnetic Resonance (NMR) is a powerful spectroscopic technique that provides information about matter at an atomic resolution. One of the applications of NMR is to decipher the molecular architecture of biomolecules including nucleic...
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MATHEMATICAL PICTURE LANGUAGE
April 13, 2021 10:00 amAfter giving a brief introduction to Membrane Theory and its matrix regularization, commenting on an inherent dynamical symmetry for all M-branes (the related “reconstruction-algebra” for M=1, strings, being the Virasoro algebra),...
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MATHEMATICAL PICTURE LANGUAGE
April 6, 2021 10:00 amThe space spanned by homotopy classes of free oriented loops on a 2-manifold carries an interesting algebraic structure (a Lie bialgebra structure) due to Goldman and Turaev. This structure is...
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MATHEMATICAL PICTURE LANGUAGE
April 6, 2021 10:00 amThe space spanned by homotopy classes of free oriented loops on a 2-manifold carries an interesting algebraic structure (a Lie bialgebra structure) due to Goldman and Turaev. This structure is...
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MATHEMATICAL PICTURE LANGUAGE
March 30, 2021 10:00 amThe hyperfinite II1 factor contains a wealth of subfactors, many of which give rise to new and fascinating mathematical structures. For instance, the standard representation of a subfactor generates a...
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MATHEMATICAL PICTURE LANGUAGE
March 23, 2021 10:00 amThe last two decades produced a substantial noncommutative (in the free algebra) real and complex algebraic geometry. The aim of this subject is to develop a systematic theory of equations...
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MATHEMATICAL PICTURE LANGUAGE
March 16, 2021 10:00 amI will discuss recent developments at a new scientific interface between quantum optics, quantum many-body physics, information science and engineering. Specifically, I will focus on two examples at this interface...
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