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SUMMARY:Chris Lutsko (Rutgers University)
DTSTART:20221013T161500Z
DTEND:20221013T173000Z
DTSTAMP:20260423T021929Z
UID:NEDNT/52
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/52/">A
  Spectral Approach to Counting and Equidistribution</a>\nby Chris Lutsko (
 Rutgers University) as part of New England Dynamics and Number Theory Semi
 nar\n\nLecture held in Online.\n\nAbstract\nSince the early 20th century\,
  spectral methods have been used to obtain effective counting theorems for
  various objects of interest in number theory\, geometry and group theory.
  In this talk I’ll start by introducing two classical problems: the Gaus
 s circle problem\, and the Apollonian counting problem. By surveying resul
 ts on these problems (and some generalizations)\, I’ll demonstrate how t
 o use spectral methods to obtain effective asymptotics for some very class
 ical problems. Then I will try and explain how to generalize this method t
 o apply to certain horospherical equidistribution theorems.\n
LOCATION:https://researchseminars.org/talk/NEDNT/52/
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