Research Group:
Speaker:
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.