On algebraically integrable bodies

Speaker
Prof. Mark Agranovsky
Date
26/11/2017 - 13:00 - 12:00Add to Calendar 2017-11-26 12:00:00 2017-11-26 13:00:00 On algebraically integrable bodies In 1687, Sir Isaac Newton  established that the area cut off from an oval in $\mathbb R^2$ by a straight line never depends algebraically on the line (the question was motivated by Kepler's law in celestial mechanics). In 1987, V. I. Arnold proposed to generalize Newton's observation to higher dimensions and conjectured that all smooth bodies, with the exception of ellipsoids in odd-dimensional spaces, have an analogous property. The talk is devoted to the current status of the conjecture 2nd floor Colloquium Room, Building 216 אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
2nd floor Colloquium Room, Building 216
Abstract

In 1687, Sir Isaac Newton  established that the area cut off from an oval in $\mathbb R^2$

by a straight line never depends algebraically on the line (the question was motivated by

Kepler's law in celestial mechanics). In 1987, V. I. Arnold proposed to generalize Newton's

observation to higher dimensions and conjectured that all smooth bodies, with the exception

of ellipsoids in odd-dimensional spaces, have an analogous property. The talk is devoted to

the current status of the conjecture

Last Updated Date : 20/11/2017