Q-manifolds, singular foliations, and singular leaves.

Camille Laurent-Gengoux (U Lorraine)

Sep 18. 2020, 11:00 — 11:40

Any singular foliation F hides a Q-manifold, built on a resolution of vector fields tangent to it. It is unique up to homotopy, and a universal object in a caterogy of Q-manifolds inducing a sub-foliation of F. It deserves therefore to be called "universal Q-manifold of F". 

I will explain the geometric meaning of this Q-manifold and how it allows to define first return (higher) maps for singular leaves.

Joint works with Sylvain Lavau Thomas Strobl and with Leonid Ryvkin

Further Information
Venue:
ESI Boltzmann Lecture Hall
Associated Event:
Higher Structures and Field Theory (Thematic Programme)
Organizer(s):
Anton Alekseev (U Genève)
Stefan Fredenhagen (U Vienna)
Nicolai Reshetikhin (UC, Berkeley)
Thomas Strobl (U Lyon)
Chenchang Zhu (U Göttingen)