Alexander Kuznetsov, Steklov Institute, Mosca Categorical resolutions and categorical absorptions of singularities Giovedì 18 Gennaio 2024, ore 16:30 Aula 8, Dipartimento di Matematica, via Saldini |
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Alexander Volberg, Michigan State University Quantum learning via harmonic analysis on Boolean cube and cyclic groups Martedì 13 Giugno 2023, ore 16:30 precise Sala di Rappresentanza, Dipartimento di Matematica, Università di Milano |
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Abstract
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The interaction between learning theory and harmonic analysis was emphasized by mathematics of quantum computing. One of the outstanding open problems in this area concerns the Bohnenblust--Hille inequality
that generalizes a celebrated Littlewood’s 4/3 lemma. How to learn (approximately and with large probability) a very large matrix in a relatively small number of random quantum quarries? Motivated by this question, a non-commutative counterpart of Bohnenblust--Hille inequality for Boolean cubes was recently conjectured in Cambyse Rouz, Melchior Wirth, and Haonan Zhang. By waving the hands I will explain the proof of non-commutative Bohnenblust--Hille inequalities with constants that are dimension-free. As applications, we study learning problems of quantum observables. Using Heisenberg—Weyl basis one
reduces the quantum problem to commutative problem: the Bohnenblust—Hille inequality for cyclic groups (joint with Haonan Zhang, Joe Slote). To prove the Bohnenblust—Hille inequality for cyclic groups turned out to be a challenging problem. I will explain the progress in this area.
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Alberto Bressan, The Pennsylvania State University Optimal control of propagation fronts and moving sets Martedì 06 Giugno 2023, ore 16:30 Sala Consiglio 7^ piano, Dipartimento di Matematica ed. 14, Politecnico di Milano |
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Jean-Luc Sauvageot, French National Centre for Scientific Research CNRS · Institut de Mathématiques de Jussieu, Paris Dirichlet forms, Spectral Triples and Fredholm modules in Noncommutative Geometry Lunedì 22 Maggio 2023, ore 16:30 Aula Consiglio 7° piano Edificio 14 La Nave Dipartimento di Matematica Politecnico di Milano |
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Ambrogio Fasoli, Ecole Polytechnique Fédérale de Lausanne Fusion energy, or how to create a star on earth Lunedì 15 Maggio 2023, ore 16:30 precise Aula De Donato |
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Patrick Gerard, Institut de Mathématique d’Orsay Doubly periodic solutions of the Benjamin-Ono equation (Video https://www.youtube.com/watch?v=P2Smd2y9nvs) Martedì 02 Maggio 2023, ore 17:30 precise Sala di Rappresentanza, Dipartimento di Matematica "F. Enriques" |
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