Workshop on Discrete Geometry and the Kepler Problem

(January 17-22, 1999)

Workshop on Discrete Geometry and the Kepler Problem

 

Sunday January 17, 1999 to Friday January 22


 
Location Seminar Room
Simonyi Hall
Institute for Advanced Study
Princeton, New Jersey
Scientific
Organizer
Gabor Fejes Toth
Mathematical Institute of the Hungarian Academy of Sciences
Confirmed
Participants
Andras Bezdek--Hungarian Academy of Sciences
Karoly Bezdek--Eotvos University
Robert Connelly--Cornell University
John Conway--Princeton University
Samuel Ferguson--University of Michigan
Tom Hales--University of Michigan
Wu-Yi Hsiang--University of California at Berkeley
Wlodzimierz Kuperberg--Auburn University
Jeffrey Lagarias--AT&T Labs - Research
Guenter Rote--Technische Universitat Graz
Neil Sloane--AT&T Shannon Lab.
Salvatore Torquato--Princeton University
Gabor Fejes Toth--Mathematical Institute of the Hungarian Academy of Sciences
   
The workshop starts on Sunday, January 17, 1999, at 2 p.m. and will continue until approximately 5 p.m. that day. The following days, Monday through Friday, January 22, it will begin each day at 9:30 a.m. and continue until approximately 5 p.m.

The workshop is co-sponsored by the Institute and the Annals of Mathematics.

The main subject of the workshop will be the new computer-assisted proof of the Kepler Conjecture by Tom Hales. (The Kepler Conjecture asserts that the densest packing of Euclidean three space by non-overlapping spheres of identical size is the one we all expect.) Most of the talks and working sessions will be organized and scheduled during the workshop, and will be on this subject.

Lectures will take place in the Simonyi Hall Seminar Room unless notified to the contrary. Every day at 2 p.m. there will be a more formal lecture on related subjects as follows:

Sunday
January 17
  • 2 p.m. Tom Hales
      An Introduction to the Kepler Conjecture
Monday
January 18
  • 2 p.m. Salvatore Torquato
      Random Packing of Spheres: Statistical-Mechanical Approach
Tuesday
January 19
  • 2 p.m. Wu-Yi Hsiang
      On the proof of Kepler's conjecture and the dodecahedron conjecture
Wednesday
January 20
  • 2 p.m. Karoly Bezdek
      On the isoperimetric problems for Voronoi polyhedra of unit ball packings in E^3
  • 2:45 Wlodzimierz Kuperberg
      Almost tiling the plane by ellipses
  • 4:30 Tom Hales -- Institute Lecture in WOLFENSOHN HALL
      Cannonballs and Foam
Thursday
January 21
  • 2 p.m. Guenter Rote
      Matchings between triangulations of a planar set of points
  • 2:45 p.m. Andras Bezdek
      On efficient packings of E^3 with various convex solids
Friday
January 22
  • 2 p.m. John Conway
      What are all the best sphere packings in low dimension?
Additional lectures may be scheduled as the conference progresses.
 


Information concerning transportation and accommodation may be found at

http://www.princetonol.com/local/
and

Please let us know by e-mail if you wish to attend. Direct all inquiries regarding workshop arrangements to:

MHayes@math.ias.edu  

Last updated 19 Jan. 1999

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