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SUMMARY:Paul Nelson (ETH Zurich)
DTSTART:20210223T153000Z
DTEND:20210223T163000Z
DTSTAMP:20260423T125811Z
UID:MITNT/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/20/">T
 he orbit method\, microlocal analysis and applications to L-functions</a>\
 nby Paul Nelson (ETH Zurich) as part of MIT number theory seminar\n\n\nAbs
 tract\nI will describe how the orbit method can be developed in a quantita
 tive form\, along the lines of microlocal analysis\, and applied to local 
 problems in representation theory and global problems concerning automorph
 ic forms.  The local applications include asymptotic expansions of relativ
 e characters.  The global applications include moment estimates and subcon
 vex bounds for L-functions.  These results are the subject of two papers\,
  the first joint with Akshay Venkatesh:\n\nhttps://arxiv.org/abs/1805.0775
 0\n\nhttps://arxiv.org/abs/2012.02187\n
LOCATION:https://researchseminars.org/talk/MITNT/20/
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