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SUMMARY:Error term in the prime geodesic theorem
DTSTART:20170328T141500
DTEND:20170328T151500
DTSTAMP:20260406T224509Z
UID:b8c82ec9d87e8a90eef3701afed934010b3666e965cf8bca6f8a4887
CATEGORIES:Conferences - Seminars
DESCRIPTION:João Guerreiro (Max Planck Institute for Mathematics - Bonn)\
 nAbstract: Closed geodesics on the surface $\\text{PSL}_2(\\mathbb{Z}) \\b
 ackslash \\mathbb{H}$\, where $\\mathbb{H}$ is the upper half plane\, sati
 sfy an asymptotic law that is very similar to the one describing the distr
 ibution of prime numbers. Moreover\, the error term in this asymptotic law
  is related to the spectrum of the Laplace operator\, which is also the se
 t of zeros of the Selberg zeta function. In this talk\, I will exploit the
  connection between closed geodesics and Maaß cusp forms to estimate the 
 error term in the prime geodesic theorem\, giving a bound for its mean squ
 are. This is joint work with Giacomo Cherubini.
LOCATION:MA A1 10
STATUS:CONFIRMED
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