Moscow-Petersburg seminar on low-dimensional mathematics
Friday, April 18, 2003, 16:00, room 311, PDMI

Kissing number in dimension 4
O.Musin (Moscow)

The speaker will answer the question:
"How many disjoint unit spheres in R^4 can touch one unit sphere?"

The similar problem in R^3 was the subject of the famous discussion
between I.Newton and D.Gregory in 1694; first proofs of Newton's
correct answer did not appear until late XIX century, a more
satisfactory proof was found only in 1953 by Sch\"utte and van der Waerden.

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Seminar home-page  http://www.pdmi.ras.ru/~lowdimma