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SUMMARY:Decay of correlations on Abelian covers of isometric extensions of
  Anosov flows
DTSTART:20260619T121500Z
DTEND:20260619T130500Z
DTSTAMP:20260615T222500Z
UID:indico-event-1405@math-events.uni-bonn.de
DESCRIPTION:Speakers: Sebastián Muñoz-Thon (Université Paris-Saclay)\n\
 nAbstract: \nI will report on a recent work with M. Cekić and T. Lefeuvr
 e. We prove a complete asymptotic expansion of the correlation function in
  inverse powers of the time variable\, for flows which arise as Abelian ex
 tensions\, that is\, extensions to $\\mathbb{Z}^d$-covers\, of certain par
 tially hyperbolic flows. This includes the frame flow of an Abelian cover 
 of a negatively curved closed Riemannian manifold $(M\, g)$\, if the frame
  flow on $(M\, g)$ is ergodic. As a special case\, our theorem also applie
 s to Abelian extensions of Anosov flows. The proof uses Fourier series in 
 $\\mathbb{Z}^d$ (Floquet theory)\, (microlocal) anisotropic Sobolev spaces
  tailored to the dynamics\, as well as the semiclassical Borel-Weil calcul
 us on principal bundles. \n \n\nhttps://math-events.uni-bonn.de/event/14
 05/
LOCATION:Endenicher Allee 60\, Seminarraum 0.011 (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1405/
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