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SUMMARY:Alix Deleporte (Laboratoire de Mathématiques d'Orsay\, Universit
 é Paris-Saclay)
DTSTART:20261008T120000Z
DTEND:20261008T140000Z
DTSTAMP:20261006T044749Z
UID:PSMQFT/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PSMQFT/12/">
 Dynamics and spectrum in the semiclassical limit for non-self-adjoint oper
 ators</a>\nby Alix Deleporte (Laboratoire de Mathématiques d'Orsay\, Univ
 ersité Paris-Saclay) as part of Probability\, Statistical Mechanics and Q
 uantum Fields\n\n\nAbstract\nOne of the early achievements of microlocal a
 nd semiclassical analysis was the asymptotic description\, in a large freq
 uency / small parameter case\, of eigenvalues and (in the integrable case)
  eigenfunctions of self-adjoint operators. This is related to a refined de
 scription of the dynamics through the well-known Egorov theorem: quantum e
 volution is well-approximated by classical evolution.\nThe non-self-adjoin
 t case presents serious additional difficulties. Making sense of the appro
 priate "classical" objects\, and proving the correspondence\, necessitates
  a great deal of supplementary geometric and analytic work.\nIn this talk\
 , I will present the challenges associated with non-self-adjoint semiclass
 ical analysis\, and describe recent results as well as perspectives.\n
LOCATION:https://researchseminars.org/talk/PSMQFT/12/
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