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Nombre de programmes trouvés : 3559
Conférences

le (51m42s)

S. Donaldson - Boundary value problems for $G_2$ structures

In the lecture we consider the existence of G2 structures on 7-manifolds with boundary, with prescribed data on the boundary. In the first part we will review general background and theory, including Hitchin’s variational approach. We will then discuss in more detail reductions of the problem in the presence of symmetry and in ”adiabatic limits”, and connections with real and complex Monge-Ampère equations.
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Conférences

le (55m59s)

V. Tosatti - $C^{1,1}$ estimates for complex Monge-Ampère equations

I will discuss a method that we recently introduced in collaboration with Chu and Weinkove which gives interior C1,1 estimates for the non-degenerate complex Monge-Ampère equation on compact Kähler manifolds (possibly with boundary). The method is sufficiently robust to also give C1,1 regularity of geodesic segments in the space of Kähler metrics (thus resolving a long-standing problem originating from the work of Chen), of quasi-psh envelopes in Kähler as well as nef and big classes (solving a conjecture of Berman), and of geodesic rays that arise ...
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Conférences

le (32m58s)

B. Berndtsson - The curvature of (higher) direct images

I will first discuss some earlier work on the curvature of direct images of adjoint line bundles under a smooth proper fibration, or more generally a surjective map and (maybe) some of its applications. Then I will present a general formula for the curvature of higher direct images. This contains as a special case (part of) the earlier work, and also generalizes results of Siu and Schumacher. (The second part is based on joint work with Mihai Paun and Xu Wang.)
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Conférences

le (50m52s)

D. Brotbek - On the hyperbolicity of general hypersurfaces

A smooth projective variety over the complex numbers is said to be (Brody) hyperbolic if it doesn’t contain any entire curve. Kobayashi conjectured in the 70’s that general hypersurfaces of sufficiently large degree in PN are hyperbolic. This conjecture was only recently proved by Siu. The purpose of this talk is to present a new proof of this conjecture. The main idea of the proof, based on the theory of jet differential equations, is to establish that a stronger property, open in the Zariski topology, ...
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Conférences

le (52m41s)

F. Campana - Birational stability of the orbifold cotangent bundle

We show that a foliation on a projective complex manifold is algebraic with rationally connected (closure of) leaves exactly when its minimal slope with respect to some movable class is positive. This extends and strengthens former classical results by Y. Miyaoka and Bogomolov-McQuillan. Applications to foliations, hyperbolicity (a converse to a result of JP. Demailly) and moduli will be mentioned.This is a joint work with Mihai Paun, partly based on a former joint work with T.
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Conférences

le (1h4m30s)

Les constructions des Plantagenêts

Les constructions des Plantagenêts au 12e siècle en Normandie constituent un des éléments de la formation d’un espace que les ducs de Normandie et rois d’Angleterre ont mis en place. Elles sont le lieu et la manifestation d’une volonté d’innovation architecturale. Leur disposition et les sommes considérables qui y ont été investies montrent l’importance qu’Henri II, Richard Coeur de Lion et Jean sans Terre leur accordaient.
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