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SUMMARY:Dubi Kelmer (Boston College)
DTSTART:20211021T161500Z
DTEND:20211021T173000Z
DTSTAMP:20260423T021858Z
UID:NEDNT/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/30/">T
 he light cone Siegel transform\, its moment formulas\, and their applicati
 ons</a>\nby Dubi Kelmer (Boston College) as part of New England Dynamics a
 nd Number Theory Seminar\n\nLecture held in Online.\n\nAbstract\nIn this t
 alk I will describe an analogue of the Siegel transform where the role of 
 Euclidean space is replaced by a light cone corresponding to an indefinite
  quadratic form.In this case one can use results on the spectral theory of
  incomplete Eisenstein series to establish moment formulas analogous to th
 e classical formulas of Siegel\, Rogers\, and Schmidt.I will then describe
  several applications of these formulas to counting lattice points on the 
 light cone\, as well as for the distribution of rational points on the sph
 ere.   All new results are based on joint work with Shucheng Yu.\n
LOCATION:https://researchseminars.org/talk/NEDNT/30/
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