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SUMMARY:Recent progress on the hard sphere model - Marcus Michelen\, Unive
 rsity of Illinois at Chicago
DTSTART:20231102T143000Z
DTEND:20231102T153000Z
UID:TALK207805@talks.cam.ac.uk
CONTACT:103978
DESCRIPTION:Consider a circle packing in R^2 (a collection of disjoint dis
 cs of radius\n1) which covers t fraction of the space. While it is well kn
 own there is\nsome maximum fraction t’ < 1 of the space that such a circ
 le packing can\ncover\, which comes from a lattice packing\, this talk con
 cerns a sort of\n“inverse” version of this. Suppose we sample a random
  circle packing at\nsome density t < t’. When t is small enough\, this l
 ooks like a "disordered"\ncollection of circles. When t is close enough to
  t'\, one might hope that a\nglobal structure emerges and perhaps that it 
 looks like a perturbation of a\nlattice packing. These problems\, along wi
 th their higher dimensional\nanalogues\, make up some of the central probl
 ems on the so called “hard\nsphere model” where vast gaps in our under
 standing remain. In this talk I\nwill give a gentle introduction to these 
 problems and discuss some recent\nprogress in a non-Euclidean setting join
 t with Lewis Bowen and Will Perkins.
LOCATION:MR12
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