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SUMMARY:Pratyush Sarkar (University of Utah)
DTSTART:20261007T200000Z
DTEND:20261007T205000Z
DTSTAMP:20261023T055944Z
UID:UtahRTNT/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UtahRTNT/19/
 ">Exponential mixing and spectral gaps in infinite volume</a>\nby Pratyush
  Sarkar (University of Utah) as part of University of Utah Representation 
 Theory / Number Theory Seminar\n\nLecture held in LCB 222.\n\nAbstract\nCl
 assically\, the dynamics of geodesic and frame flows were studied for comp
 act (and more generally\, for finite volume) hyperbolic manifolds\, and he
 avily relied on spectral gaps and representation theory. In recent decades
 \, there have been many developments for infinite volume hyperbolic manif
 olds\, in particular for exponential mixing. In this setting\, It turns ou
 t that representation theory has limitations and Dolgopyat-type techniques
  are advantageous. Having established exponential mixing\, it is then inte
 resting to go in the reverse direction and look at spectral gaps and repre
 sentation theoretic results. I plan to talk about some older work and a re
 cent joint work with Dubi Kelmer and Osama Khalil to confirm a conjecture 
 of Mohammadi--Oh.\n
LOCATION:https://researchseminars.org/talk/UtahRTNT/19/
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