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