Carrillo José Antonio, University of Oxford Nonlocal Aggregation-Diffusion Equations: entropies, gradient flows, phase transitions and applications Thursday, December 02 2021, at 17:00 https://polimi-it.zoom.us/j/85300866421 | |
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Kestutis Cesnavicius, Institut de Mathématique d'Orsay, Université Paris-Saclay The perfectoid approach to purity questions Monday, November 15 2021, at 16:00 Sala di Rappresentanza, Via C. Saldini 50, Milano e ON LINE | |
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Benjamin Schlein, University of Zurich Landau–Pekar equations and quantum fluctuations for the dynamics of a polaron Monday, September 20 2021, at 17:00 https://polimi-it.zoom.us/j/82145408841?pwd=VTZxUVJrYVRjQUltTC9ISnNBbzg3QT09 |
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Abstract
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In this talk, we are going to discuss the dynamics of a polaron, at large coupling. For initial data of Pekar product form, with a coherent phonon field and with the electron minimising the corresponding field energy, we provide a norm approximation of the evolution, valid up to times quadratic in the coupling constant. The approximation is given in terms of a Pekar product state, evolved through the Landau-Pekar equations and corrected by a Bogoliubov dynamics describing quantum fluctuations. I will explain the similarities with the study of the evolution of interacting bosons. This talk is based on joint work with Nikolai Leopold, David Mitrouskas, Simone Rademacher and Robert Seiringer. |
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Jean Dolbeault, Université Paris Dauphine Functional inequalities: nonlinear flows and entropy methods as a tool for obtaining sharp and constructive results Tuesday, July 06 2021, at 17:00 https://polimi-it.zoom.us/j/81798558580 | |
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Jacopo De Simoi, University of Toronto Dynamical rigidity of convex billiards Monday, June 21 2021, at 17:00 https://zoom.us/j/91544493126?pwd=cHVlNEFkZ1lHWjNONG9kWHdoaGwxQT09 | |
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Leszek Demkowicz, Oden Institute, The University of Texas at Austin The DPG Method for Convection-Reaction Problems Monday, May 10 2021, at 17:00 https://us02web.zoom.us/j/81021076857 | |
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