I-Poisson geometry and its applications

par Hadi Nahari (ICJ, Lyon 1)

vendredi 14 oct. 2022, 14:00 → 15:00 Europe/Paris

Fokko du Cloux (Bâtiment Braconnier)

We introduce the category of I-Poisson manifolds where its objects are just Poisson manifolds together with appropriate ideals of smooth functions, but its morphisms are an important relaxation of Poisson maps. We provide numerous examples and applications. In particular, we show that singular foliations can be described in the language of I-Poisson manifolds and this perspective permits us to construct an algebraic invariant of Hausdorff Morita equivalence for singular foliations. 

This is a joint with T. Strobl.