Geometry, Topology and Dynamics Seminar
Julio Rebelo
University of Toulouse, France
Contractions vs. extension of holonomy maps for holomorphic foliations
Abstract: Let $\mathcal F$ be a singular holomorphic foliation defined on a complex
algebraic surface $M$. The leaves of the foliation $\mathcal F$ are themselves foliated
by (singular) real-one dimensional trajectories over which the holonomy of $\mathcal F$
has a contractive character. Motivated by the problem of classifying foliations admitting
an invariant positive closed current, we shall explain that either all (singular) minimal
sets of $\mathcal F$ have a holonomy pseudogroup exhibiting some ``contrative behavior'' or
most of the holonomy maps arising from $\mathcal F$ can be globalized in a suitable sense.
Monday December 3, 2012 at 4:00 PM in SEO 636