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UID:news488@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20181229T223226
DTSTART;TZID=Europe/Zurich:20131009T151500
SUMMARY:Seminar Analysis: Stefan Steinerberger (University of Bonn)
DESCRIPTION:It is obvious that there is no tiling of the Euclidean plane  w
 ith unit disks (any three disks have a gap in the middle): we prove a  qua
 ntitative version of this statement. This simple insight has  applications
  in spectral geometry: it tells us something about the  topological struct
 ure of the vibration profile of a (possibly  oddly-shaped) drum and allows
  us to recover an improved version of  Pleijel's estimate (which was also 
 recently done by Bourgain).
X-ALT-DESC: \nIt is obvious that there is no tiling of the Euclidean plane 
  with unit disks (any three disks have a gap in the middle): we prove a  q
 uantitative version of this statement. This simple insight has  applicatio
 ns in spectral geometry: it tells us something about the  topological stru
 cture of the vibration profile of a (possibly  oddly-shaped) drum and allo
 ws us to recover an improved version of  Pleijel's estimate (which was als
 o recently done by Bourgain).
DTEND;TZID=Europe/Zurich:20131009T161500
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