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DTSTART:20220327T030000
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DTSTAMP:20260404T035451Z
UID:6277cf9e3b6c0478802535@ist.ac.at
DTSTART:20220509T140000
DTEND:20220509T150000
DESCRIPTION:Speaker: Amir Vig\nhosted by Kaloshin Group\nAbstract: A classi
 cal inverse problem in mathematical physics is to determine the shape of a
  membrane from the resonant frequencies at which it vibrates. The problem 
 is very much still open for smooth\, strictly convex planar domains and in
  this case\, there is a natural dynamical analogue: can one determine the 
 shape of such a domain from the lengths of periodic billiard trajectories?
  In fact\, these problems are related by the Poisson relation and generali
 zed trace formulae which give asymptotic expansions for the wave trace (a 
 Laplace spectral invariant) near the length of a periodic billiard traject
 ory. In this talk\, I will discuss recent work on both types of inverse pr
 oblems and describe an ongoing project to further elucidate the connection
  between them.
LOCATION:Mondi Seminar Room 2\, Central Building\, ISTA
ORGANIZER:jdeanton@ist.ac.at
SUMMARY:Amir Vig: The Wave Trace and Birkhoff Billiards
URL:https://talks-calendar.ista.ac.at/events/3761
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