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SUMMARY:Pratyush Sarkar (Yale University)
DTSTART:20210503T161500Z
DTEND:20210503T173000Z
DTSTAMP:20260423T022036Z
UID:NEDNT/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/25/">G
 eneralization of Selberg’s 3⁄16 theorem for convex cocompact thin subg
 roups of SO(n\, 1)</a>\nby Pratyush Sarkar (Yale University) as part of Ne
 w England Dynamics and Number Theory Seminar\n\nLecture held in Online.\n\
 nAbstract\nSelberg’s 3/16 theorem for congruence covers of the modular s
 urface is a beautiful theorem which has a natural dynamical interpretation
  as uniform exponential mixing. Bourgain-Gamburd-Sarnak’s breakthrough w
 orks initiated many recent developments to generalize Selberg’s theorem 
 for infinite volume hyperbolic manifolds. One such result is by Oh-Winter 
 establishing uniform exponential mixing for convex cocompact hyperbolic su
 rfaces. These are not only interesting in and of itself but can also be us
 ed for a wide range of applications including uniform resonance free regio
 ns for the resolvent of the Laplacian\, affine sieve\, and prime geodesic 
 theorems. I will present a further generalization to higher dimensions and
  some of these immediate consequences.\n
LOCATION:https://researchseminars.org/talk/NEDNT/25/
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