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Parabolic geometry of a car

Pawel Nurowksi
Schedule: 
Tuesday, September 29, 2020 - 16:00
Location: 
A-133
Location: 
Room A-133 and online. Sign in to get the link.
Abstract: 

I show that a car, viewed as a nonholonomic system, provides an example of a flat parabolic geometry of type (SO(2, 3), P12), where P12 is a Borel parabolic subgroup in SO(2, 3). I discuss the relations of this geometry of a car with the geometry of circles in the plane (a low dimensional Lie sphere geometry), the geometry of 3-dimensional conformal Minkowski spacetime, the geometry of 3-rd order ODEs, projective contact geometry in three dimensions, and the corresponding twistor fibrations.I hope that the time permits to talk about all of these topics.

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