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SUMMARY:Yaiza Canzani (North Carolina)
DTSTART:20211028T140000Z
DTEND:20211028T150000Z
DTSTAMP:20260423T024519Z
UID:HASS21/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HASS21/4/">E
 igenfunction concentration via geodesic beams</a>\nby Yaiza Canzani (North
  Carolina) as part of Harmonic Analysis and Symmetric Spaces 2021\n\n\nAbs
 tract\nA vast array of physical phenomena\, ranging from the propagation o
 f waves to the location of quantum particles\, is dictated by the behavior
  of Laplace eigenfunctions. Because of this\, it is crucial to understand 
 how various measures of eigenfunction concentration respond to the backgro
 und dynamics of the geodesic flow. In collaboration with J. Galkowski\, we
  developed a framework to approach this problem that hinges on decomposing
  eigenfunctions into geodesic beams. In this talk\, I will present these t
 echniques and explain how to use them to obtain quantitative improvements 
 on the standard estimates for the eigenfunction's pointwise behavior\, $L^
 p$ norms\, and Weyl Laws. One consequence of this method is a quantitative
 ly improved Weyl Law for the eigenvalue counting function on all product m
 anifolds.\n
LOCATION:https://researchseminars.org/talk/HASS21/4/
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