Oct 19 – 20, 2017
INSA Toulouse
Europe/Paris timezone

On the parametrization of level sets in the Heisenberg group

Oct 19, 2017, 4:30 PM
45m
Salle 13 Bâtiment Mathématiques Appliquées (INSA Toulouse)

Salle 13 Bâtiment Mathématiques Appliquées

INSA Toulouse

INSA Toulouse Département Mathématiques Appliquées 135 avenue de Rangueil 31077 Toulouse Cédex 4

Speaker

Dario Trevisan

Description

We introduce novel equations, in the spirit of Young-Rough Path theory, that parametrize level sets of intrinsically regular maps on the Heisenberg group with values in the plane. These equations can be seen as a sub-Riemannian counterpart to classical ODEs arising from the implicit function theorem. We show that they enjoy all the natural well-posedness properties, thus allowing for a ``good calculus'' on nonsmooth level sets, e.g., measuring their length. Examples and recent progress towards the higher co-dimension case will be discussed. Joint work with V. Magnani and E. Stepanov.

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