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SUMMARY:Hyperbolic lattice point counting in unbounded rank
DTSTART:20240111T141500
DTEND:20240111T160000
DTSTAMP:20260407T103134Z
UID:39d3099f5add403255beb63312d8f1efa2b358bed35a2c129945cb4e
CATEGORIES:Conferences - Seminars
DESCRIPTION:Chris Lutzko (UZH)\nCounting lattice points in balls is a clas
 sical problem which goes back to Gauss in the Euclidean setting. In the hy
 perbolic setting this corresponds to counting matrices of norm T in \\SL_n
 (\\Z). For n=2 the record belongs to Selberg in the early 1980s. In a rece
 nt paper with Valentin Blomer we extend Selberg's method to higher rank (n
  > 2) and thus improve on the best known bounds for the hyperbolic lattice
  point counting problem in higher rank. In the first half of this talk I w
 ill introduce the problem\, summarize the history\, and give a sketch of S
 elberg's method. Then in the second half I will give a sketch of the proof
  of Blomer and myself.
LOCATION:MA A1 12 https://plan.epfl.ch/?room==MA%20A1%2012
STATUS:CONFIRMED
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