Jean-Pierre DEMAILLY
(Grenoble)
9/29/14, 10:00 AM
The talk will present some striking results of Marco Brunella concerning the curvature of canonical and anticanonical line bundles of compact Kähler manifolds, and of foliations on such manifolds. These results all contain very deep ideas, and several ones are connected to important unsolved conjectures. We will try to give an overview of some of them.
Frédéric TOUZET
(Rennes)
9/29/14, 3:30 PM
In this talk, we will point out some numerical properties of codimension 1 foliations on projective manifolds which ensure the existence/inexistence of holonomy invariant positive current.
Luis Gustavo MENDES
(Porto Alegre)
9/29/14, 5:00 PM
In the first part of the talk I'll take the risk of doing history of mathematics, presenting results of Cayley, Cremona and Halphen on deformations of elliptic fibrations (without sections). After, I'll show some experiments of degenerations of the configurations treated by these authors. At last, I'll give some ideas of Brunella's general result on deformations of...
Dominique CERVEAU
(Rennes)
9/30/14, 10:00 AM
IL s'agit d'un travail avec Alcides Lins neto et Marianna Vago où l'on donne une description des types de singularités modulo la connaissance de leur partie initiale.
Massimo VILLARINI
(Modena)
9/30/14, 11:30 AM
We give an example of a free circle action on the 7-dimensional sphere whose orbits have unbounded lenghts (equivalently: unbounded periods).As an application we construct a smooth vector field X in a neighbourhood U of the origin in the 8-dimensional real space such that : U - (0) is foliated by closed integrale curves, the differential DX(0) generate a 1-parametri group of rotations, but X...
Jorge Vitorio PEREIRA
(IMPA)
9/30/14, 2:00 PM
Adolfo GUILLOT
(Cuernavaca)
9/30/14, 5:00 PM
The centennial theorem of Malmquist states that a non-autonomous algebraic ordinary differential equation of the first order having an entire solution is in fact a Riccati equation. We will speak about related results concerning algebraic differential equations having at least one single-valued solution.
Marianna RAVARA VAGO
(Rennes)
10/1/14, 9:20 AM
It is a local version of a conjecture of Brunella which says that a codimension 1 foliation in the projective three-dimensional space P^3 either has an invariant algebraic surface or each leaf is sub-foliated by a one-dimensional foliation. In this local take, we have the following "local conjecture": a germ of holomorphic codimension 1 foliation in C^3,0 either possesses a germ of analytic...
Misha VERBITSKY
(Moscow)
10/1/14, 10:00 AM
Let $M$ be a compact Kahler manifold without non-trivial complex subvarieties. Using Brunella's alternative for holomorphic foliations, Nadel's vanishing theorem and Demailly's regularization of positive currents, we prove that $M$ is a compact torus. This is a joint work with F. Campana and J.-P. Demailly.
Frank LORAY
(Rennes)
10/1/14, 11:30 AM
We investigate foliations on projective surfaces having a compact leaf.
This is a joint work in progress with Benoît Claudon, Jorge Vitorio Pereira and Frédéric Touzet.
Alexey GLUTSYUK
(Lyon and Moscow)
10/1/14, 2:00 PM
A conjecture of Victor Ivrii (1980) says that in every billiard with smooth boundary the set of periodic orbits has measure zero. This conjecture is closely related to spectral theory. Its particular case for triangular orbits was proved by M. Rychlik (1989), Ya. Vorobets (1994) and other mathematicians, and for quadrilateral orbits in our joint work with Yu. Kudryashov (2012).
We...
Etienne GHYS
(Lyon)
10/2/14, 10:00 AM
At the beginning of his career, Marco Brunella published five papers related to Anosov flows in dimension 3.
These papers had a great influence on the subsequent development of the theory.
I would like to review these papers and present the present status of the question.
Marcel NICOLAU
(Barcelona)
10/2/14, 11:30 AM
Motivated by previous work of Cerveau and Déserti, we introduce the notion of Galois holomorphic foliation
on the complex projective space as those whose Gauss map is a Galois covering when restricted to an appropriate Zariski open subset.
We characterize Galois foliations on $\mathbb P^2$ belonging to certain classes, which include homogeneous
foliations and we give a geometric...
Michael McQUILLAN
(Roma)
10/2/14, 2:00 PM
The identification of surfaces with negative Kodaira dimension which are not fibred in rational curves with the natural foliations on bi-disc quotients can reasonably be considered the centre piece of the classification of foliated surfaces. It was very much a collaborative effort with Marco, and, curiously, I have never given a talk specifically devoted to this theorem.
Adriano TOMASSINI
(Parma)
10/2/14, 3:30 PM
We will focus on algebraic aspects of the $\delta_1\delta_2$-Lemma for bounded double complexes, characterizing it in terms of special cohomologies.
We will apply such a result to complex and symplectic manifolds.
We will also report on some results on Dolbeault-Massey triple products.
