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SUMMARY:Zeta values as moments: A random matrix theory
DTSTART:20261016T130000Z
DTEND:20261016T143000Z
DTSTAMP:20261015T020300Z
UID:indico-event-17539@indico.math.cnrs.fr
CONTACT:gaiur@ihes.fr\; +33758543130
DESCRIPTION:Speakers: Hartmut Monien (University Bonn & IHES)\n\nValues of
  the Riemann zeta-function $\\zeta\\left(\\alpha+\\beta n\\right)$ with $\
 \alpha>1$\, $\\beta>0$ and $n$ a positive integer can be obtained as momen
 ts of a certain probability distribution. In my talk I will construct the 
 corresponding random matrix model and determine its asymptotic spectral cu
 rve\, which exhibits an unusual feature\, the complete asymptotics of its 
 partition function and uniform approximations to its correlation functions
  using a discrete version of Riemann-Hilbert problem with Airy and Bessel 
 asymptotics. This relates a problem in number theory to ideas of Vershik a
 nd Okounkov in representation theory of the symmetric group.\n\nhttps://in
 dico.math.cnrs.fr/event/17539/
LOCATION:Salle Marie-Louise Dubreil-Jacotin (IHP - Bâtiment Borel)
URL:https://indico.math.cnrs.fr/event/17539/
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