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Oberseminar "Geometrische Analysis und Zahlentheorie": Frédéric Naud (Sorbonne Université, France) -- online

Title: GOE and GUE statistics on random hyperbolic surfaces.

Abstract: We will describe some models of Random compact hyperbolic surfaces on which it is possible to study, in a large genus regime, the smooth linear spectral statistics for the (twisted) Laplace spectrum. We will show that the variance converges, after taking adhoc limits, to the one given by the random matrix models of GOE and GUE. This is, in a fairly weak sense, a rigourous justification of some popular conjectures of quantum chaos from the 80s.

Bei Interesse an einer online-Teilnahme den Teilnahmelink bitte bei Tobias Weich erfragen.