Barry Simon, California Institute of Technology SPECTRAL THEORY, SUM RULES AND LARGE DEVIATIONS Monday, May 28 2018, at 16:30 Aula Chisini, Diparimento di Matematica, Via C. Saldini 50 |
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Abstract
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After dening 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 Thursday, May 17 2018, at 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 Monday, May 14 2018, at 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 Wednesday, March 14 2018, at 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 Friday, February 23 2018, at 10:30 precise Sala Consiglio, 7 piano, Edificio La Nave, Via Bonardi 9 | |
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