Vincenzo De Risi, CNRS Université de Paris; Max Planck Institute
Diagrammi geometrici e teoria dello spazio dall'antichità all'età moderna
Giovedì 15 Dicembre 2022, ore 17:00
Sala di Rappresentanza del Dip. di Matematica, via C. Saldini 50 | |
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Gady Kozma, Weizmann Institute of Science
Harmonic functions on groups
Mercoledì 30 Novembre 2022, ore 14:30
Aula 3014 - Dipartimento di Matematica e Applicazioni - Edificio U5 (Milano-Bicocca) | |
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Eric Carlen, Rutgers University
On some fundamental inequalities of quantum mathematical physics
Lunedì 14 Novembre 2022, ore 17:00
Aula Seminari 6 piano, Edificio La Nave | |
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Maryna Viazovska (Fields Medal 2022), EPFL, Lausanne
The sphere packing problem and beyond (Video https://youtu.be/ciZwEuSIXXU)
Lunedì 24 Ottobre 2022, ore 17:30
Aula Rogers | |
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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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