MATHEMATICAL PICTURE LANGUAGE, SEMINARS
September 20, 2022 9:30 amJust as moments of a distribution of real numbers are a powerful tool that (if they are not too large) determine the distribution uniquely, we can consider certain averages as...
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MATHEMATICAL PICTURE LANGUAGE, SEMINARS
June 7, 2022 9:30 amParameterized quantum circuits (PQCs) are the leading proposal for near-term quantum computing, with applications including electronic structure, dynamical simulation, and solving linear systems. However, there has recently been major progress in...
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MATHEMATICAL PICTURE LANGUAGE, SEMINARS
May 24, 2022 9:30 amI will discuss the asymptotics of multimatrix models. In a small parameters (or high temperature) region, their free energy is well known to converge and to be related with the...
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MATHEMATICAL PICTURE LANGUAGE, SEMINARS
May 17, 2022 9:30 amIn this talk I discuss some results and open problems concerning the long-time dynamics of n-body quantum systems, non-relativistic QED and the Hubbard model of condensed matter physics. https://harvard.zoom.us/j/779283357?pwd=MitXVm1pYUlJVzZqT3lwV2pCT1ZUQT09
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MATHEMATICAL PICTURE LANGUAGE, SEMINARS
May 3, 2022 9:30 amSuppose we are given a random matrix with an essentially arbitrary pattern of entry means and variances, dependencies, and distributions. What can we say about its spectrum? It may appear hopeless that...
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MATHEMATICAL PICTURE LANGUAGE, SEMINARS
April 19, 2022 9:30 amWe will explain an isoperimetric-type inequality for subsets of the Heisenberg group that controls the size of the (suitably defined) vertical boundary by the perimeter. This inequality was conceived for...
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MATHEMATICAL PICTURE LANGUAGE, SEMINARS
April 7, 2022 9:30 amIt follows rather directly from Gödel that mathematical progress per mathematician should diminish with time. The real problem is what relation there is between human mathematics and the set of consequences...
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MATHEMATICAL PICTURE LANGUAGE, SEMINARS
April 5, 2022 9:30 am I will start the lecture with a brief introduction to various flavors of the Langlands correspondence. I will then explain the setup of a new flavor: the analytic Langlands correspondence...
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MATHEMATICAL PICTURE LANGUAGE, SEMINARS
March 8, 2022 9:30 amThe Nishimori line (NL) describes a special one parameter family of disordered spin models which are invariant under a gauge transformation acting jointly on the spins and the disorder. For...
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MATHEMATICAL PICTURE LANGUAGE, SEMINARS
March 1, 2022 9:30 amWe will present some rigorous results about entropy and relative entropy in QFT, motivated in part by recent physicists' work which however depends on heuristic arguments such as introducing cut off and using...
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