On algebraically integrable bodies
Seminar
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
