Résultats de recherche

Résumé : The three gap theorem, also known as the Steinhaus conjecture or three distance theorem, states that the gaps in the fractional parts of $\alpha,2\alpha,\ldots, N\alpha$ take at most th...

Résumé : We show that any natural (derived) functor on constructible sheaves on smooth complex algebraic varieties can be used to construct a special kind of constructible sets of local systems,...

Résumé :   Appendix by Vincent GUIRARDEL and Camille HORBEZ We prove that any action of a higher rank lattice on a Gromov-hyperbolic space is elementary. More precisely, it is either elliptic ...

Résumé : Double Bruhat cells $G^{u,v}$ were first studied by Fomin and Zelevinsky [8]. They provide important examples of cluster algebras [1] and cluster Poisson varieties [5]. Cluster varietie...

Résumé : This article has three major goals. First, we define tropical cycle class maps for smooth varieties over non-Archimedean fields, valued in the Dolbeault cohomology defined in terms of r...

Résumé : Let $(X,\omega)$ be a compact Kähler manifold and $\mathcal H$ the space of Kähler metrics cohomologous to $\omega$. If a csck metric exists in $\mathcal H$, we show that all finite ene...

Introduction Je remercie Roland Berger de m'avoir fait découvrir les travaux de Georges de Rham, ainsi que Michel Mizony pour son aide constante, toujours prêt à discuter quel que soit mon projet de recherche. &nbs...