Barry Simon, California Institute of Technology
SPECTRAL THEORY, SUM RULES AND LARGE DEVIATIONS
Lunedì 28 Maggio 2018, ore 16:30
Aula Chisini, Diparimento di Matematica, Via C. Saldini 50 |
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Abstract
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After de ning the spectral theory of orthogonal polynomials on the unit circle
(OPUC) and real line (OPRL), I'll describe Verblunsky's version of Szego's
theorem as a sum rule for OPUC and the Killip-Simon sum rule for OPRL
and their spectral consequences. Next I'll explain the original proof of Killip-Simon using representation theorems for meromorphic Herglotz functions.
Finally I'll focus on recent work of Gamboa, Nagel and Rouault who obtain
the sum rules using large deviations for random matrices. |
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Grigory Mikhalkin, Université de Genève
Maximally writhed real algebraic knots and links
Giovedì 17 Maggio 2018, ore 17:00 precise
Sala di Rappresentanza, Università di Milano, Via C. Saldini 50, Milano | |
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Arnaud Beauville, Université de Nice
Recent progress on rationality problems
Lunedì 14 Maggio 2018, ore 15:30
Sala di Rappresentanza, Università di Milano, Via C. Saldini 50, Milano | |
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Gilles Carron, Laboratoire de Mathématiques Jean Leray (UMR 6629), Université de Nantes, CNRS
The constant scalar curvature equation in some singular spaces
Mercoledì 14 Marzo 2018, ore 16:30
Sala Consiglio, 7 piano, Edificio La Nave, Via Bonardi 9 | |
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Alessandra Lunardi, Università di Parma
Sobolev and BV functions in infinite dimension
Venerdì 23 Febbraio 2018, ore 10:30 precise
Sala Consiglio, 7 piano, Edificio La Nave, Via Bonardi 9 | |
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