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Modern bounds on sphere packing density
Special Events| Speaker: | Prof. Greg Kuperberg, UC Davis |
| Location: | 693 Kerr |
| Start time: | Fri, Nov 15 2002, 1:10PM |
Description
Following chapters 9 and 13 of the famous textbook "Sphere packings,
lattices, and groups", by Conway and Sloane, I will show how to use
linear programming and representation theory to derive upper bounds
on sphere packing density. The main case considered will be of sphere
packings in spherical geometry, which includes the kissing number problem.
This is the first of 2 one-hour survey lectures
for graduate students as part of the RFG in
Combinatorics. The second part will be Friday
Nov 22 at the same time and place.