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:

January 17

  • 2 p.m. Tom Hales
    • An Introduction to the Kepler Conjecture

January 18

  • 2 p.m. Salvatore Torquato
    • Random Packing of Spheres: Statistical-Mechanical Approach

January 19

  • 2 p.m. Wu-Yi Hsiang
    • On the proof of Kepler's conjecture and the dodecahedron conjecture

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

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

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.



Date & Time

January 17, 1999 | 12:00am – January 22, 1999 | 12:00am