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SUMMARY:Classical spectral asymptotics with a modern twist - Leonid Parnov
 ski (University College London)
DTSTART:20260113T101500Z
DTEND:20260113T111500Z
UID:TALK238147@talks.cam.ac.uk
DESCRIPTION:The existence of spectral asymptotics of Laplace or Schroeding
 er operators acting on Riemannian manifolds is a classical problem studied
  for more than 100 years. It has been known for a long time that obstacles
  to the existence of spectral asymptotic expansions are periodic and loopi
 ng trajectories of the geodesic flow. A conjecture formulated in 2016 stat
 ed that these trajectories are the only such obstacles. I will discuss the
  history of this problem and describe the resent progress: proving this co
 njecture in special cases\, as well as constructing some counterexamples. 
 Some of the results will be new even for people who have heard an earlier 
 version of this talk.\nThis is a joint work with Jeff Galkowski (UCL) and 
 Roman Shterenberg (UAB)
LOCATION:Seminar Room 1\, Newton Institute
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