SPEAKERS,  TITLES AND ABSTRACTS

E. Amar	Extension de fonctions holomorphes dans les classes de Hardy Abstract
P.de Bartolomeis	Variétés de Calabi-Yau Généralisées Abstract
E. Bedford	Dynamics of Birational Maps Abstract
B. Berndtsson	Subharmonicity of Bergman kernels and curvature of vector bundles We consider weighted L2-spaces of holomorphic functions (or holomorphic sections to a line bundle) depending on a parameter. Under certain hypotheses, we prove that the Bergman kernel for these spaces depend in a subharmonic way on the parameter. More generally, we prove that the function spaces themselves vary in a subharmonic way, meaning that the vector bundle they define over the parameter space has positive curvature. As an application we prove that if a holomorphic vector bundle, V, over a complex manifold is ample in the sense of Hartshorne, then V¤det V has an hermitian metric with curvature strictly positive in the sense of Nakano.
J.-P. Demailly	On the mathematical work of Henri Skoda We will try to give an overview of some of the most important aspects of Henri Skoda's mathematical contributions, many of which have played a central role in the development of complex analysis and geometry in the last 35 years. Henri Skoda's results on the theory of closed positive currents and on L2 estimates for ideals of holomorphic functions have led in particular to remarkable results in algebraic geometry and complex dynamics, and are at the heart of important current research investigations.
K. Diederich	News around the Levi problem We will discuss several new developments concerning the Levi problem for complex spaces with singularities.
T.-C. Dinh	Dynamics of polynomial automorphisms in higher dimension We study dynamical properties of a large class of polynomial automorphisms of  Ck: the regular automorphisms. In C2 the dynamically interesting polynomial automorphisms are conjugate to regular ones. We prove the laminarity of the Green currents and we show that correlations for Holder observables are exponentially decreasing.
J. E. Fornaess	Density of Orbits in Complex Dynamics Suppose that F is a germ of a holomorphic map on Complex Euclidean space in higher dimension. We discuss a question raised by Dominique Cerveau, namely whether F can have a dense orbit.
G. M. Henkin	Reconstruction of an open Riemann surface from the Dirichlet to Neumann mapping of three generic functions on its boundary
C. Kiselman	Fonctions holomorphes au sens de Ferrand définies sur des ensembles discrets, ou fonctions monodiffriques de seconde espèce au sens d'Isaacs Rufus Isaacs introduisit en 1941 deux notions de fonctions holomorphes définies sur des ensembles discrets qu'il appela fonctions monodiffriques de première et seconde espèces respectivement.  En 1944 Jacqueline Ferrand poursuivit l'étude des fonctions monodiffriques de seconde espèce.    Dans ma conférence je vais montrer que les équations de Cauchy--Riemann admettent des solutions, déterminer les domaines d'holomorphie en une variable discrète et étudier le phénomène de Hartogs en deux variables discrètes, toujours pour les fonctions monodiffriques de seconde espèce. À cause du travail fondamental de Jacqueline Ferrand, je veut les nommer fonctions holomorphes au sens de Ferrand.
C. Laurent	Résolution de l'équation de Cauchy-Riemann tangentielle dans une calotte strictement pseudoconvexe et compacts de Stein des hypersurfaces Levi-plates. On s'intéresse au lien entre la résolution de l'équation de Cauchy-Riemann tangentielle dans une calotte strictement pseudoconvexe $\omega$ et l'existence d'une hypersurface M Levi-plate passant par $\partial\omega$. Cela nous conduit à étudier les propriétés du feuilletage de Levi de M pour que l'intersection de M avec un domaine strictement pseudoconvexe soit un compact de Stein.
J. Mc Neal	Extending L2 holomorphic functions with gain If D is a pseudoconvex domain, H is a complex hypersurface, and f is a holomorphic function on (H intersect D) which is L2, a basic question is: does f have a holomorphic extension, F, to all of D with control of the L2 norm of F ? A theorem of Ohsawa-Takegoshi says that this extension is always possible in a quasi-isometric way, i.e.  the L2 norm of F is, up to a constant, the L2 norm of f. I will present some generalizations of the Ohsawa-Takegoshi theorem which give extensions with smaller L2 norm. This is joint work with Dror Varolin.
S. Nivoche	Special polynomial polyhedra, pluricomplex Green function of a compact set and applications Abstract
T. Ohsawa	Toward an L2 Oka-Cartan theory Let  M  be a complex manifold equipped with a volume form  dV, let  E  be a holomorphic vector bundle over  M  equipped with a fiber metric  h, and let  S  be a closed complex analytic subset of  M.  We want to find a measure on  S  with respect to which every L2 holomorphic section of  E  tensorized with the canonical bundle extends to  M  holomorphically with the L2 condition with respect to  dV  and h.  A new answer to this question will be given, improving earlier results particularly when  S  admits singular points.
M. Passare	Residue currents and geometry We will give a survey of the theory and use of residue currents. Emphasis will be put on their role as a connecting element between complex analysis and algebraic geometry. As an example we shall present Andersson's new proof of the Briançon-Skoda theorem.
M. Paun	Idéaux multiplicateurs et variétés kählériennes compactes à classe de Ricci nef
J. P. Rosay	Plurisubharmonic functions on almost complex manifolds
B. Shiffman	Number variance of random zeros In a continuation of our study of zeros of random polynomials and random holomorphic sections, we give asymptotic formulas for the variance of the volumes of zero sets in a domain. In dimension 1, for example, we show that if U is a domain with piecewise smooth boundary B in a compact Riemann surface M, then the variance of the number of zeros in U of a random holomorphic section of a positive line bundle L on M is  (deg L)^{1/2}Length(B).
N. Sibony	Calculus on spaces of currents and application to dynamics Let f be a meromorphic transform between compact Kahler manifolds.When f is of pure codimension it is possible to extend in a coherent way the pull back operation on differantial forms to various spaces of currents (positive closed, DSH). When f is an arbitrary meromorphic transform we define the principal part of the pull back. As an application we give an estimate of the entropy of a meromorphic correspondence on a compact Kahler manifold in terms of the action on cohomology.We also construct Green currents for holomorphic correspondances. This is joint work with T.C. Dinh.
Y.-T. Siu	The Finite Generation of Canonical Rings
G. Tomassi	Some results on complex  spaces Starting from classical themes of the theory of complex spaces, we discuss some  new results  on local Steiness, domains of holomorphy and  convexity.
C. Voisin	On integral Hodge classes on complex projective manifolds The Hodge conjecture is well-known to be wrong for integer coefficients. We explain several counterexamples to it, both topological (Atiyah-Hirzebruch-Totaro) and non topological (Koll\'ar-Soulé-Voisin). Koll\'ar's construction works for threefolds hypersurfaces of general type. We show however that the Hodge conjecture is true for integral Hodge classes on projective threefolds which are either uniruled or Calabi-Yau.
J. Winkelmann	Hyperbolicity and Nevanlinna Theory Nevanlinna Theory deals with quantitative aspects of holomorphic maps. We discuss some such results and how they can be used to deduce qualitative statements on the existence of holomorphic maps to certain complex varieties, in particular concerning ramified coverings over (semi-)abelian varieties.