Conférence
Complex analytic and differential geometry 2017
16 Conférences
N. Mok - Linearly saturated subvarieties on uniruled projective manifolds
Linearly saturated subvarieties on uniruled projective manifolds
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
V. Guedj - Quasi-psh envelopes and supersolutions
Using and extending an approximation process due to Berman, we show that the quasi-psh envelope of a viscosity super-solution is a pluripotential super-solution of a given complex Monge-Ampère
C. Voisin - Cubic fourfolds, hyper-Kähler manifolds and their degenerations
There at least three families of hyper-K ̈ahler manifolds built from cubic fourfolds, the most recently discovered one being the compactified intermediate Jacobian fibrations I constructed with
S. Kolodziej - Monge-Ampère and Hessian equations on compact Hermitian manifolds
Monge-Ampère and Hessian equations on compact Hermitian manifolds
C. Favre - Degeneration of measures of maximal entropy
Consider any meromorphic family of endomorphisms of the complex projective plane parameterized by the punctured unit disk. We shall explain how to describe the behaviour of their measures of
M. Mustata - Hodge ideals
I will discuss certain invariants of singularities, the Hodge ideals, that are defined in the context of Saito’s theory of mixed Hodge modules. They can be considered as higher order analogues of
S. Kebekus - Varieties with vanishing first Chern class
We investigate the holonomy group of singular Kähler-Einstein metrics on klt varieties with numerically trivial canonical divisor. Finiteness of the number of connected components, a Bochner
S-T. Yau - Existence of complete Kähler-Einstein metric with negative scalar curvature
This is a talk about my works with Damin Wu concerning those manifolds with negative holomorphic sectional curvature. I shall describe our theorem that such manifold must have negative first Chern
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,
L. Ein - Discrepancies and dimensions of secant varieties
Discrepancies and dimensions of secant varieties
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.
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
T. Darvas - Complex Monge-Ampère equations with prescribed singularity type
Given a Kahler manifold (X, ω), finding smooth solutions to the equation (ø +i∂̄∂u)n=føn goes back to Yau’s solution of the Calabi conjecture in the seventies. In joint work with E.
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
R. Berman - Canonical metrics, random point processes and tropicalization
In this talk I will present a survey of the connections between canonical metrics and random point processes on a complex algebraic variety X. When the variety X has positive Kodaira dimension,