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SUMMARY:Zeta Values as Moments: A Random Matrix Theory
DTSTART:20261001T123000Z
DTEND:20261001T140000Z
DTSTAMP:20261010T001900Z
UID:indico-event-17408@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Hartmut Monien (University Bonn & IHES)\n\nThe value
 s of the Riemann zeta-function $\\zeta\\left(\\alpha+\\beta n\\right)$ wit
 h $\\alpha>1$\, $\\beta>0$ and $n$ a positive integer can be viewed as mom
 ents of a probability distribution. In my talk I will construct the corres
 ponding random matrix model and determine its asymptotic spectral curve\, 
 which exhibits an unusual feature\, the complete asymptotics of its partit
 ion function and uniform approximations to its correlation functions using
  a discrete version of Riemann-Hilbert problem with Airy and Bessel asympt
 otics. This relates a problem in number theory to ideas of Vershik and Oko
 unkov in the representation theory of the symmetric group.\n========\nPour
  être informé des prochains séminaires vous pouvez vous abonner à la l
 iste de diffusion en écrivant un mail à sympa@listes.math.cnrs.fr avec c
 omme sujet: "subscribe seminaire_mathematique PRENOM NOM"(indiquez vos pro
 pres prénom et nom) et laissez le corps du message vide.\n\nhttps://indic
 o.math.cnrs.fr/event/17408/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/17408/
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