Докладчик: Piotr Mormul (University of Warsaw, Warsaw, Poland)
Дата: 20 июня 2014
Время: 13:00
Место: зал ученого совета ИПС
Аннотация:
Доклад будет на русском языке и осветит следующие вопросы:
- Integrable and nonintegrable distributions.
- Completely nonholonomic distributions.
- Nilpotent bases of generators of distributions - rare and precious. Sufficient condition for the local nilpotentizability of a distribution.
- Car+trailers' systems and their [slow] motion planning.
- Question whether they are locally nilpotentizable.
- Those systems are Goursat; Kumpera-Ruiz (K-R) coordinates for them.
- Are all Goursat distributions locally nilpotentizable?
- Jean's stratification for car+trailers' vis a vis K-R stratification for Goursat distributions as such.
- K-R coordinates effectively produce nilpotent bases.
- The nilpotency orders of the resulting real nilpotent Lie algebras.
- Another kinematical model: car with two off-hooked trailers. Is it locally nilpotentizable?