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DTSTART:20230312T060000
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DTSTART;TZID=America/Halifax:20230317T160000
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DTSTAMP:20240228T023243
CREATED:20200904T115630Z
LAST-MODIFIED:20230314T085635Z
UID:7000-1679068800-1679072400@aarms.math.ca
SUMMARY:Dalhousie-AARMS AAMP Seminar: Milivoje Lukic (Rice U.)
DESCRIPTION:Title: Universality limits for orthogonal polynomialsAbstract: It is often expected that the local statistical behavior ofeigenvalues of some system depends only on its local properties; forinstance\, the local distribution of zeros of orthogonal polynomials shoulddepend only on the local properties of the measure of orthogonality. Thisphenomenon is studied using an object called the Christoffel-Darbouxkernel. The most commonly studied case is known as bulk universality\,where the rescaled limit of Christoffel-Darboux kernels converges to thesine kernel.In this talk\, we will survey this subject\, prior results\, and a recentresult which gives for the first time a completely local sufficientcondition for bulk universality. The new approach is based on a matrixversion of the Christoffel-Darboux kernel and the de Branges theory ofcanonical systems\, and it applies to other self-adjoint systems with 2×2transfer matrices such as continuum Schrodinger and Dirac operators.The talk is based on joint work with Benjamin Eichinger (TechnicalUniversity Wien) and Brian Simanek (Baylor University).\nThe Dalhousie-AARMS Analysis-Applied Math-Physics Seminar takes place on Fridays from 4 – 5 pm Atlantic Time over either Zoom and/or in Chase 227 depending on the speaker. If you would like to attend\, please email the organizers for connection details.
URL:https://aarms.math.ca/event/dalhousie-aarms-aamp-seminar-steven-lester-kings-college-london-2-2-3-2-2-2-4-2-2-2-2-2-2-2-2/
LOCATION:Dalhousie University\, Halifax\, Nova Scotia\, Canada
CATEGORIES:AAMP Seminar
ORGANIZER;CN="Suresh%20Eswarathasan":MAILTO:sr766936@dal.ca
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