MATHEMATICAL PICTURE LANGUAGE
June 22, 2021 10:00 amThe commutative graph complex, defined by contracting edges in graphs, was introduced by Kontsevich in 1993. Recently, Chan-Galatius-Payne have shown that its cohomology can be identified with a piece of...
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MATHEMATICAL PICTURE LANGUAGE
May 25, 2021 10:00 amWe will present some rigorous results about Relative entropy in QFT, motivated in part by recent physicists’ work which however depends on heuristic arguments such as introducing cut off and...
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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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