slides for this talk: https://docs.google.com/viewer?url=ht...

Abstract:
The Strong Density Conjecture states that for a given primitive integral Apollonian circle
packing, every sufficiently large admissible (passing local obstructions) integer is the
curvature of some circle in the packing. In joint work with Jean Bourgain, we prove that a
set of density one satisfies the conjecture, with a power savings on the exceptional set.


On the Strong Density Conjecture for Apollonian Circle Packings
Hot Topics: Thin Groups And Super-Strong Approximation February 06, 2012 - February 10, 2012
February 06, 2012 (03:40 PM PST - 04:40 PM PST)
Speaker(s): Alex Kontorovich (Rutgers University)
Location: MSRI: Simons Auditorium


http://www.msri.org/workshops/652/sch...