F. Sarti

collaborators

8 papers

math.DS2026

Superrigidity for representations of transverse measured groupoids

Filippo Sarti, Alessio Savini

For $i = 1, \dots, k$ , let $G_{i}$ be a connected, simply connected, semisimple algebraic group over some local field $I^º_{i}$ of characteristic zero. Let $G_i=\mathbf{G}_i(Îº_i)…

math.GT2025

Simplicial volume via foliated simplices and duality

Filippo Sarti

Let $M$ be a triangulated oriented closed connected manifold with universal cover $M \to M$ and fundamental group $I^ = I ¨ _{1} (M)$ and consider an essentially free measure p…

math.DS2025

Bounded cohomological induction for transverse measured groupoids

Tobias Hartnick, Filippo Sarti

We establish an induction isomorphism in the context of measurable bounded cohomology of discrete measured groupoid, which generalizes the Eckmann-Shapiro isomorphism in bounded co…

math.DS2025

Measurable bounded cohomology of measured groupoids

Filippo Sarti, Alessio Savini

We introduce the notion of measurable bounded cohomology for measured groupoids, extending continuous bounded cohomology of locally compact groups. We show that the measurable boun…

math.DS2025

Boundaries and equivariant maps for ergodic groupoids

Filippo Sarti, Alessio Savini

We give a notion of boundary pair $(B_{-}, B_{+})$ for measured groupoids which generalizes the one introduced by Bader and Furman \cite{BF14} for locally compact gr…

math.GT2025

Parametrized KÃ¤hler class and Zariski dense orbital 1-cohomology

Filippo Sarti, Alessio Savini

Let $I^$ be a finitely generated group and let $(X, I^¼_{X})$ be an ergodic standard Borel probability $I^$ -space. Suppose that $G$ is the connected component of the identity of the is…