Who is afraid of infinite dimensions?

27 oct. 2025, 10:00 → 31 oct. 2025, 16:00 Europe/Paris

Fokko du Cloux (batiment Braconnier)

lun. 27 octobre

1 Nonlinear Grassmannians as coadjoint orbits of diffeomorphism groups

Orateur: Cornelia Vizman

2 Locally convex spaces in Differential geometry

Orateur: Michael Heins

mar. 28 octobre

3 Nonlinear Grassmannians as coadjoint orbits of diffeomorphism groups

Orateur: Cornelia Vizman

4 Locally convex spaces in Differential geometry

Orateur: Michael Heins

5 Gong show (5 minute blackboard talks)

mer. 29 octobre

6 Nonlinear Grassmannians as coadjoint orbits of diffeomorphism groups

Orateur: Cornelia Vizman

7 Locally convex spaces in Differential geometry

Orateur: Michael Heins

jeu. 30 octobre

8 Nonlinear Grassmannians as coadjoint orbits of diffeomorphism groups

Orateur: Cornelia Vizman

9 Locally convex spaces in Differential geometry

Orateur: Michael Heins

ven. 31 octobre

10 Locally convex spaces in Differential geometry

Orateur: Michael Heins

11 The Grassmanian of Poisson Transversals

The role of Poisson transversals in Poisson geometry is analogous to the one played by symplectic submanifolds in symplectic geometry, and by transverse submanifolds in foliation theory. They are defined as submanifolds that intersect the symplectic leaves transversally and symplectically.

I will talk about the geometry of the infinite dimensional manifold of compact Poisson transversals. In particular, for unimodular Poisson structures, this space carries a symplectic structure. This construction generalizes and was much inspired by the construction of the symplectic Grassmannian introduced by Stefan Haller and Cornelia Vizman.

This is joint work with Pedro Frejlich.

(Séminaire Physmath)

Orateur: Ioan Marcut