Gigliola Staffilani, Massachusetts Institute of Technology The Schrödinger equation as inspiration of beautiful mathematics Lunedì 04 Luglio 2022, ore 17:00 Sala Consiglio 7 piano, Edificio La Nave |
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Abstract
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In the last two decades great progress has been made in the study of dispersive and wave equations. Over the years the toolbox used in order to attack highly nontrivial problems related to these equations has developed to include a collection of techniques: Fourier and harmonic analysis, analytic number theory, math physics, dynamical systems, probability and symplectic geometry. In this talk I will introduce a variety of results using as model problem mainly the periodic 2D cubic nonlinear Schrödinger equation. I will start by giving a physical derivation of the equation from a quantum many-particles system, I will introduce periodic Strichartz estimates along with some remarkable connections to analytic number theory, I will move on to the concept of energy transfer and its connection to dynamical systems, and I will end with some results on the derivation of a wave kinetic equation. |
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Vojkan Jaksic, McGill University, Montreal, Canada Approach to equilibrium in translation-invariant quantum systems: some structural results Mercoledì 29 Giugno 2022, ore 17:00 Sala di Rappresentanza, 7 piano, Dip. di Matematica, via Bonardi 9 |
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Giuseppe Ancona, Università di Strasburgo Quadratic forms arising from geometry Giovedì 16 Giugno 2022, ore 16:30 Sala di Rappresentanza del Dip. di Matematica, via C. Saldini 50 |
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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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