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SUMMARY:Jayadev Athreya (University of Washington)
DTSTART:20210923T161500Z
DTEND:20210923T173000Z
DTSTAMP:20260423T021928Z
UID:NEDNT/28
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/28/">G
 eometric Structures and Point Processes</a>\nby Jayadev Athreya (Universit
 y of Washington) as part of New England Dynamics and Number Theory Seminar
 \n\nLecture held in Online.\n\nAbstract\nIn this talk\, we will prove the 
 convergence part of Khitchine’s theorem on non-degenerate manifolds. Thi
 s confirms a conjecture of Kleinbock and Margulis in 1998. Our approach us
 es geometric and dynamical ideas together with a new technique of `major a
 nd minor arcs’. In particular\, we establish sharp upper bounds for the 
 number of rational points of bounded height lying near `major arcs’ and 
 give explicit exponentially small bounds for the measure of `minor arcs’
 . This is joint work with Victor Beresnevich.\n
LOCATION:https://researchseminars.org/talk/NEDNT/28/
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