Tumbling Downhill along a Given Curve (Jean-Pierre Eckmann, UNIGE)

26.09.2023 10:30

A cylinder will roll down an inclined plane in a straight line. A cone will wiggle along a circle on that plane and then will stop rolling. We ask the inverse question: For which curves drawn on the inclined plane $\real^2$ can one chisel a shape that will roll downhill following precisely this prescribed curve and its translationally repeated copies?
This is a nice, and easy to understand problem, but the solution is quite interesting.
(Based on work mostly with Y. Sobolev and T. Tlusty. After a Nature paper, Solid-body trajectoids shaped to roll along desired pathways, August 2023).

Lieu

Bâtiment: Conseil Général 7-9

Room 1-05, Tuesday 26.09.2023, Séminaire "Groupes et Géométrie"

entrée libre