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SUMMARY:Effective bisector estimate for PSL(2\,C) with applications to cir
 cle packings - Ilya Vinogradov\, Bristol
DTSTART:20121017T150000Z
DTEND:20121017T160000Z
UID:TALK39455@talks.cam.ac.uk
CONTACT:Peter Varju
DESCRIPTION:Let Gamma be a non-elementary discrete geometrically finite su
 bgroup of PSL(2\,C). Under the assumption that the critical exponent of Ga
 mma is greater than 1 we prove an effective bisector counting theorem for 
 Gamma. We then apply this Theorem to the Apollonian circle packing problem
  to get power savings and to compute the overall constant. The proof relie
 s on spectral theory of Gamma\\PSL(2\,C).
LOCATION:MR11\, CMS
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