Andrea Malchiodi, Scuola Normale Superiore di Pisa Prescribing scalar curvature in conformal geometry Giovedì 19 Maggio 2022, ore 17:00 Sala Consiglio, 7 piano, Ed. La Nave, via Bonardi 9 | |
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Stefan Kebekus, University of Freiburg The Minimal Model Program, and Extension Theorems for Differential Forms Lunedì 04 Aprile 2022, ore 16:00 Sala di Rappresentanza, Via C. Saldini 50, Milano | |
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Marc Quincampoix, Université de Brest, France Control of multiagent systems viewed as dynamical systems on the Wasserstein space Mercoledì 23 Febbraio 2022, ore 17:00 Sala Consiglio 7 piano, Edificio La Nave e https://polimi-it.zoom.us/j/81969494860 | |
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Carrillo José Antonio, University of Oxford Nonlocal Aggregation-Diffusion Equations: entropies, gradient flows, phase transitions and applications Giovedì 02 Dicembre 2021, ore 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 Lunedì 15 Novembre 2021, ore 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 Lunedì 20 Settembre 2021, ore 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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