Centre for Advanced Study

at the Norwegian Academy of Science and Letters

Leandro Arosio

Title Post doc
Academic Institution University of Rome
Country Italy
Contact Information

About fellow

Leandro Arosio is currently working on three research projects. The first one, a joint work with F. Bracci, is the study of holomorphic dynamics in the unit ball of C^n. In particular, he is studying commuting self-maps in the unit ball in order to prove simultaneous linearization and to show when a hyperbolic and a parabolic self-maps cannot commute. The main tool here is the canonical Kobayashi hyperbolic semi-model. He is also considering backward dynamics in the ball, trying to adapt Ostapyuk's proof concerning the existence of a backward orbit with bounded step converging to an isolated boundary repelling fixed point to the case of a boundary point z which is not isolated.

This would give as a consequence the existence of a canonical pre-model at the point z.

The second research project, a joint work with E. Wold, studies the existence and the minimal dimension of totally real embeddings in the complex space of a smooth compact real manifold, such that the polynomial convex hull of the image is strictly larger than the image itself, but contains no analytic disc.

The third research project, a joint work with F. Larusson, studies the interactions between Oka theory and dynamics. In particular, he is trying to obtain a  dynamical characterization for ellipticity in the case of Stein manifolds.

CAS Project