Weak and strong nilpotentizability in the monster towers hosting flag distributions

Prelegent(ci)

Piotr Mormul

Afiliacja

Uniwersytet Warszawski

Termin

26 maja 2017 10:15

Pokój

p. 5840

Seminarium

Seminarium Zakładu Układów Dynamicznych

---

Weak nilpotentizability (of a distribution = subbundle in the tangent bundle to a manifold) means the existence of a (local) nilpotent basis of sections.

Strong nilpotentizability of a point, say p, is the equivalence of the distribution germ at p to the nilpotent approximation of that distribution at p. (This notion of 'strong nilpotentizability at a point' is relatively new, and fairly delicate.)

Strong implies weak (for germs), but not vice versa.

The talk will review these two properties, and formulate open questions, for distributions living in the so-called monster towers. These are classical flag distributions going back conceptually to von Weber and E. Cartan.
 

---