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SUMMARY:Asbjørn Nordentoft (Universität Bonn)
DTSTART:20210122T093000Z
DTEND:20210122T103000Z
DTSTAMP:20260423T041621Z
UID:LAGA-AGAA/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGA-AGAA/5/
 ">Around the conjectures of Mazur and Rubin on the distribution of modular
  symbols</a>\nby Asbjørn Nordentoft (Universität Bonn) as part of Sémin
 aire de géométrie arithmétique et motivique (Paris Nord)\n\n\nAbstract\
 nIn 2016 Mazur and Rubin put forth a number of conjectures concerning the 
 arithmetic distribution of modular symbols motivated by questions in Dioph
 antine stability of elliptic curves. One of these conjectures predicts tha
 t modular symbols should follow a normal distribution and another one is c
 oncerned with the residual distribution of modular symbols. In this talk I
  will give an introduction to these conjectures and discuss different resu
 lts related to them. In particular\, I will present an automorphic methods
  for proving residual equidistribution of modular symbols and for computin
 g the variance (with a surprising connection to perturbation theory). If t
 ime permits\, I will explain how these results can be generalized to class
 es in the first cohomology of arithmetic subgroups of $\\mathrm{SO}(n\,1)$
 .\n\nPart of the talk is joint work with Petru Constantinescu (UCL).\n
LOCATION:https://researchseminars.org/talk/LAGA-AGAA/5/
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