BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Sylvia Serfaty (Courant Institute\, New York University) DTSTART:20220110T080000Z DTEND:20220110T090000Z DTSTAMP:20260404T164909Z UID:PDE/1 DESCRIPTION:Title: Mean-Field limits for systems with singular interactions (1/8)\nby Sylvia Serfaty (Courant Institute\, New York University) as part of ONLINE PDE LECTURE SERIES\, AMSS\, CAS\n\n\nAbstract\nAbstract： \nThis course will be concerned with recent developments in the derivation of mean-field evolution PDEs from discrete systems of particles with pair interaction p otentials\, with or without noise terms. Motivations are numerous and come from physics\, biology and social sciences\, convergence of particle meth ods and stochastic gradient descent\, neural networks\, etc. We will discu ss the relative entropy-based methods and the modulated energy approach fo r singular interactions.\n\nReferences:\n\n•Didier Bresch\, Pierre-Emman uel Jabin\, and Zhenfu Wang\, On mean-field limits and quantitative estima tes with a large class of singular kernels: application to the Patlak-Kell er-Segel model\, C. R. Math. Acad. Sci. Paris\, 357(9):708--720\, 2019.\n\ n•Pierre-Emmanuel Jabin and Zhenfu Wang. Quantitative estimates of propa gation of chaos for stochastic systems with $W^{-1\,\\infty}$ kernels\, In vent. Math.\, 214(1):523--591\, 2018.\n\n•Daniel Lacker\, Hierarchies\, entropy\, and quantitative propagation of chaos for mean field diffusions\ , arXiv preprint arXiv:2105.02983\, 2021.\n\n•Quoc-Hung Nguyen\, Matthew Rosenzweig\, and Sylvia Serfaty\, Mean-field limits of Riesz-type singula r flows with possible multiplicative transport noise\, arXiv preprint arX iv:2107.02592\, 2021.\n\n•Matthew Rosenzweig and Sylvia Serfaty\, Global -in-time mean-field convergence for singular Riesz-type diffusive flows. a rXiv:2108.09878\n\n•Sylvia Serfaty\, Mean field limit for Coulomb-type f lows\, Duke Math. J.\, 169(15):2887--2935\, 10 2020\, Appendix with Mitia Duerinckx.\n\n\n\n\n\nBrief biography: Professor Sylvia Serfaty is the Sil ver Professor of Mathematics at the Courant Institute\, New York Universit y. She earned her PhD from Université Paris-Sud. Her previous positions i nclude appointments at Université Pierre et Marie Curie and the École No rmale Supérieure de Cachan. A large part of her work has focused on the G inzburg-Landau model of superconductivity and on understanding why and whe n vortices form triangular lattices. She has more recently turned her atte ntion to questions of statistical mechanics of systems with Coulomb-type r epulsion\, also arising in approximation theory and random matrices\, and which turn out to be generalizations of the questions addressed for the be havior vortices in superconductors. She was a plenary speaker at the ICM R io in 2018\, and is the recipient of the EMS and Henri Poincaré prizes an d of the Mergier-Bourdeix prize of the French Academy of Sciences.\n LOCATION:https://stable.researchseminars.org/talk/PDE/1/ END:VEVENT END:VCALENDAR