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The kissing number and related problems (Oleg Musin, University of Texas Rio Grande Valley)

December 5 @ 4:15 pm - 5:15 pm

Abstract:

The kissing number problem asks for the maximal number k(n) of equal size nonoverlapping spheres in n-dimensional space that can touch another sphere of the same size. This problem in dimension three was the subject of a famous discussion between Isaac Newton and David Gregory in 1694. In three dimensions the problem was finally solved only in 1953 by Schutte and van der Waerden. In this talk we are going to give an overview of this problem and to present our solution of a long-standing problem about the kissing number in four dimensions. We are also going to discuss Tammes’ problem and other optimal sphere packings problems.

Details

Date:
December 5
Time:
4:15 pm - 5:15 pm
Event Category:

Other

Speaker Name
Oleg Musin

Venue

Argue Auditorium, Pomona College
610 N. College Ave.
Claremont, CA 91711 United States
+ Google Map

Details

Date:
December 5
Time:
4:15 pm - 5:15 pm
Event Category:

Other

Speaker Name
Oleg Musin

Venue

Argue Auditorium, Pomona College
610 N. College Ave.
Claremont, CA 91711 United States
+ Google Map