Pierre Py

Coxeter groups and Kähler groups

We study homomorphisms from K¨ ahler groups to Coxeter groups. As an application, we prove that a cocompact complex hyperbolic lattice (in complex dimension at least 2) does not embed into a Coxeter group or a right-angled Artin group. This is in contrast with the case of real hyperbolic lattices.

Quelques plats pour la métrique de Hofer

Abstract We show, by an elementary and explicit construction, that the group of Hamiltonian diffeomorphisms of certain symplectic manifolds, endowed with Hofers metric, contains subgroups quasi-isometric to Euclidean spaces of arbitrary dimension.

An exotic deformation of the hyperbolic space

On the one hand, we construct a continuous family of non-isometric proper

A remark about weak fillings

{\rm CAT}(-1)

Quasi-morphismes et invariant de Calabi

spaces on which the isometry group

Quasi-morphismes de Calabi et graphe de Reeb sur le tore

{\rm Isom}({\bf H}^n)

Cubulable K\"ahler groups

of the real hyperbolic

Cubulable Kähler groups

n

On continuity of quasi-morphisms for symplectic maps

-space acts minimally and cocompactly. This provides the first examples of non-standard

Quasi-morphisme de Calabi sur les surfaces de genre supérieur

{\rm CAT}(0)