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Solving linear Hamilonian ODE’s by rolling cones in Minkowski’s space

Mathematics Colloquium

Solving linear Hamilonian ODE’s by rolling cones in Minkowski’s space
Series: Mathematics Colloquium
Location: Zoom Meeting
Presenter: Gil Bor, CIMAT, Guanajuato, Mexico
Recently, Mark Levi and I found a relation, apparently new, between the objects in the title. The relation is inspired by a remarkable description of the motion of a rigid body in euclidean space, found by Louis Poinsot in 1854. It turns out that this description, once formulated in a group theoretic language, applies also to rigid body motion in Minkowski's space. This in turn throws a new light on some well known ODEs, such as Schrödinger’s (or Hill’s) equation x''+q(t)x=0. 
 
Reference: G.Bor and M. Levi, Hill’s equation, tire tracks and rolling cones, Nonlinearity, 33.4 (2020), 1424. https://arxiv.org/abs/1908.04965
 
Password:  Please reach out to aubreymouradian@math.arizona.edu for the password for this Zoom meeting.
(The Talk will be Preceded by tea at 3:30 in the same zoom room... BYOT (Brew Your Own Tea))