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SUMMARY:Jasmin Matz (Copenhagen)
DTSTART:20211029T163000Z
DTEND:20211029T173000Z
DTSTAMP:20260423T024533Z
UID:HASS21/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HASS21/10/">
 Quantum ergodicity in the level aspect</a>\nby Jasmin Matz (Copenhagen) as
  part of Harmonic Analysis and Symmetric Spaces 2021\n\n\nAbstract\nA clas
 sical result of Shnirelman and others shows that closed Riemannian manifol
 ds of negative curvature are quantum ergodic\, meaning that on average the
  probability measures $|f|^2 dx$ on $M$\, with $f$ running through normali
 zed Laplace eigenfunctions on $M$ with growing eigenvalue\, converge towar
 ds the Riemannian measure $dx$ on $M$.\n\nFollowing ideas of Abert\, Berge
 ron\, Le Masson\, and Sahlsten\, we look at a related situation: We want t
 o consider certain sequences of manifolds together with Laplace eigenfunct
 ions of approximately the same eigenvalue instead of high energy eigenfunc
 tions on a fixed manifold. In my talk I want to discuss joint work with F.
  Brumley in which we study this situation in higher rank for sequences of 
 compact quotients of $SL(n\,\\mathbb{R})/SO(n)$.\n
LOCATION:https://researchseminars.org/talk/HASS21/10/
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