1. structures presque complexes, utilisation en géométrie symplectique et de contact:

Denis Auroux (MIT et UCBerkeley)
Special Lagrangian fibrations and mirror symmetry

Paul Biran
Lagrangian topology and homological geometry


Léa Blanc-Centi
Local equivalence of almost complex structures

The problem of local equivalence of two almost complex structures was
first raised by Ch. Ehresmann. In her PhD thesis, P. Libermann gave a
solution in terms of $G$-structures in the case of complex dimension 2.
Here, we take a different approach, by seeking information on the
group of automorphisms (that is, transformations preserving almost
complex structures).  We will see how an explicit parametrization of
some special family of pseudoholomorphic discs gives a result of
uniqueness for automorphisms preserving a germ of non-degenerate
hypersurface.

Emmanuel Ferrand
Some remarks around the notion of contact hamiltonian

Agnès Gadbled
Monotone Lagrangian embeddings into cotangent bundles

I will explain the construction of a Floer-Novikov homology for
monotone Lagrangian submanifold into the total space of a cotangent
bundle and how this homology gives topological obstructions to the
existence of monotone Lagrangian embeddings when the manifold is the
total space of a fibration over the circle.

Emmanuel Giroux
Sur les automorphismes des structures de contact

Leonor Godinho
Polygons and hyperpolygons: a journey into spaces of parabolic Higgs bundles


Misha Gromov
Guth' pairing in the cohomology of symplectic configuration spaces

Tara Holm
Symplectic reduction in stages and orbifold invariants

Let M be a compact symplectic manifold endowed with a Hamiltonian torus
action. I will discuss how to extend the well-known result that components
of a moment map for the action are Morse-Bott functions on M to make
arguments about the topology of a partial level set. This may be used to
make conclusions about orbifold invariants of symplectic quotients. The
talk will include many examples, including toric orbifolds and quotients
of coadjoint orbits by subtori of the maximal torus.

Yael Karshon
Convexity package for momentum maps on contact manifolds

Let a torus act on a compact connected cooriented contact manifold,
and let Psi be the natural momentum map on the symplectization. In joint work with River
Chiang, we prove that, if the torus acts effectively and has dimension greater than two,
then the union of the origin with the image of Psi is a convex polyhedral cone, the
non-zero level sets of Psi are connected (while the zero level set can be disconnected),
and the momentum map is open as a map to its image.
This answers a question posed by Eugene Lerman, who proved similar results when the zero
level set is empty.

Ana Rita Pires
Geometry of b-Manifolds


Patrick Popescu-Pampu
Complex singularities and contact topology

2. géométrie de Poisson:

Anne Pichereau
L_infinity interpretation of a classification of deformations of
Poisson structures.

To each polynomial $\phi\in\C[x,y,z]$ is associated a Poisson
structure ${.,.}_\phi$ on $C^3$, whose singular locus coincides with
the singular locus of the surface in $C^3$, given by the zero locus of
$\phi$.  When $\phi$ is (weight-)homogeneous and when this singular
locus is an isolated singularity, we obtain a classification of all
the (formal) deformations of ${.,.}_\phi$ and we give an explicit
formula for all these deformations. In this talk, we will give an
interpretation of this classification, in terms of L_infinity
algebras.

Nguyen Tien Zung
Le système de Gelfand-Cetlin

Izu Vaisman
Reduction and Quantization of Weak-Hamiltonian Systems

Alan Weinstein
Symplectic groupoids and stacks

3. symétries et équations différentielles:

Rui Loja Fernandes
Stability of symplectic leaves

Peter Olver
Lie Pseudogroups

Abstract:

In this talk, I will present a new approach to study Lie pseudo-groups. The
equivariant method of moving frames leads to new constructive algorithms
for the Maurer--Cartan forms and the structure equations, as well as the
complete classification of differential invariants and invariant
differential operators and forms.  The resulting recurrence formulae reveal
the complete structure of the differential invariant algebra of the
pseudo-group. Applications to differential equations and variational
problems arising in geometry and physics will be discussed.


4. feuilletages lagrangiens, systèmes intégrables:

Abed Bounemoura
Generic super-exponential stability of elliptic fixed points for Hamiltonian vector
fields

Frédéric Hélein
Geometry of the m-th elliptic integrable systems

Florent Schaffhauser
Modules de fibrés vectoriels sur une surface de Klein

Toute surface topologique compacte S peut être munie d'une structure de
surface de Klein (variété dianalytique de dimension deux sur le corps des réels). Son
revêtement complexe est par définition une surface de Riemann compacte X, munie d'une
involution antiholomorphe qui détermine topologiquement la surface de Klein de départ.
Dans cet exposé, nous relions les fibrés vectoriels dianalytiques sur S et les fibrés
vectoriels holomorphes sur X, en nous attachant particulièrement aux constructions
induites dans les espaces de modules de fibrés holomorphes semi-stables sur X.


Alfonso Sorrentino
Aubry-Mather theory and Integrability of Hamiltonian systems

Shlomo Sternberg
Functoriality in the semi-classical world
 
San Vu Ngoc
Classification des systèmes intégrables semi-toriques

5. un peu d'histoire, organisation par Yvette Kosmann-Schwarzbach.

David Blair (Michigan State Univ.)
Hyperbolic twistor spaces

Ivan Kolář (Masaryk Univ., Brno)
Semi-holonomic jets and contact elements, higher-order connections

Jean Pradines (Toulouse)
Prolongements de groupoïdes et de fibrés principaux, selon C. Ehres-
mann, P. Libermann, I. Kolář, et J. Virsik

In a long paper published in 1969, P. Libermann observed that Ehresmann's basic
correspondence between a principal bundle and its structural groupoid is not preserved
when using the general process of prolongation for fibre bundles and differentiable
groupoids by means of jets of sections or bisections, and she proposed a suitable ad hoc
method for defining prolongations of  principal bundles.
At the same period and independently, several authors tackled the same question and
discovered essentially equivalent solutions from various viewpoints.
This will be for us an opportunity for revisiting, from a certain distance, such basic
concepts as principal and associate bundles, structural groups and groupoids, and
prolongations, introduced by C. Ehresmann in order to geometrize the notion of connection.