Foto del docente

Stefano Francaviglia

Full Professor

Department of Mathematics

Academic discipline: MATH-02/B Geometry

Research

Keywords: hyperbolic topology outer space representation manifold currents fundamental group triangulation low dimension harmonic measure geometry dynamical systems geometric topology geometric group theory hyperbolic geometry Hilbert metric Hilbert geometry convex projective geometry translation surfaces conjugacy problem automorphisms of groups moduli spaces graph theory simplicial volume Gromov Thurston bounded cohomology barycentric maps

Geometry and topology of low-dimensioal manifolds. geometric group theory. dymanical systems and holomorphic foliations


Low dimensional Geometry and Topology:
Hyperbolic manifolds in dimension 2,3,4. Deformation spaces of structures (Teichmuller, character variety, etc...) Rigidity. Study of new examples of hyperbolic 4-manifolds. CAT(0)-spaces, limits and asymptotic bahaviors. Coarse Geometry.

Geometric Group Theory:
Automorphisms and currents on free groups. Study of the so-called Outer Space of free groups, metric properties and isometries. Decision problems on free and hyperbolic groups.

Dynamical Systems and Holomorphic Foliations:
Study of monodromies oh holomorphic foliations on products SxCP1. Singular Projective Structures.

For more info, please see http://www.dm.unibo.it/~francavi/

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