PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Dmitri Burago, John Roe.

Title:Finiteness of central configurations and Smale's 6th problem (joint with A. Albouy)
Seminar:Geometry Luncheon Seminar
Speaker:Vadim Kaloshin, PSU
Abstract:
The 6th Smale problem for the XXI century is about finiteness of planar central configurations for any combinations of positive masses. The problem was first posed by Chazy in 1918, then by Wintner in 1941. Hampton-Moeckel in 2004 gave a computer assisted proof of finiteness for 4 bodies. We show that the number of central configurations of the 5 body problem is finite, except perhaps if masses certain algebraic relations. We also give a purely analytic proof of Hampton-Moeckel result for 4 bodies. This is a joint work with Alain Albouy.

Room Reservation Information

Room Number:MB114
Date:11 / 10 / 2010
Time:12:15pm - 01:30pm