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SUMMARY:Folkmar Bornemann (TU München)
DTSTART:20210726T133000Z
DTEND:20210726T144500Z
DTSTAMP:20260423T021429Z
UID:BODS/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BODS/20/">Fi
 nite size effects: random matrices\, quantum chaos\, and Riemann zeros</a>
 \nby Folkmar Bornemann (TU München) as part of Bremen Online Dynamics Sem
 inar\n\n\nAbstract\nSince the legendary 1972 encounter of H. Montgomery an
 d F.\nDyson at tea time in Princeton\, a statistical correspondence of the
 \nnon-trivial zeros of the Riemann Zeta function with eigenvalues of\nhigh
 -dimensional random matrices has emerged. Surrounded by many deep\nbut not
 oriously intractable conjectures\, there is a striking analogy to\nthe ene
 rgy levels of a quantum billiard system with chaotic dynamics.\nThe statis
 tical accuracy provided by an enormous dataset of more than\none billion z
 eros reveals distinctive finite size effects. Using the\nphysical analogy\
 , we discuss a precise prediction of these effects that\nhas been obtained
  in terms of operator determinants and their\nperturbation series (joint w
 ork with P. Forrester and A. Mays\, Melbourne).\n
LOCATION:https://researchseminars.org/talk/BODS/20/
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