BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Leonid Parnovski (UCL\, London) DTSTART:20241029T131500Z DTEND:20241029T140000Z DTSTAMP:20260423T052643Z UID:MAS-MP/79 DESCRIPTION:Title: Classical spectral asymptotics with a modern twist\nby Leonid Parnovsk i (UCL\, London) as part of Munich-Copenhagen-Santiago Mathematical Physic s seminar\n\n\nAbstract\nThe existence of spectral asymptotics of Laplace or Schroedinger operators acting on Riemannian manifolds is a classical pr oblem known for more than 100 years. It has ben known for a long time that obstacles to the existence of spectral asymptotic expansions are periodic and looping trajectories of the geodesic flow. A conjecture formulated in 2016 stated that these trajectories are the only such obstacles. I will d iscuss the history of this problem and describe the resent progress: provi ng this conjecture in special cases\, as well as constructing some counter examples.\n LOCATION:https://researchseminars.org/talk/MAS-MP/79/ END:VEVENT END:VCALENDAR