5 résultats : Complex analytic and differential geometry 2017

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Canal-U
R. Berman - Canonical metrics, random point processes and tropicalization
Description : 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, this leads to a probabilistic construction of the canonical metric on X introduced by Tsuji and So ...
Mots clés : Grenoble, Complex analytic and differential geometry 2017, canonical metrics, random point, tropicalization
Date : 07-06-2017
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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R. Berman - Canonical metrics, random point processes and tropicalization
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Canal-U
D. Brotbek - On the hyperbolicity of general hypersurfaces
Description : 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 ...
Mots clés : Complex analytic and differential geometry 2017, Grenoble, hyperbolicity, general hypersurfaces
Date : 06-06-2017
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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D. Brotbek - On the hyperbolicity of general hypersurfaces
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Canal-U
F. Campana - Birational stability of the orbifold cotangent bundle
Description : 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. A ...
Mots clés : Grenoble, Complex analytic and differential geometry 2017, birational stability, orbitfold cotangent bundle
Date : 06-06-2017
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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F. Campana - Birational stability of the orbifold cotangent bundle
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Canal-U
T. Darvas - Complex Monge-Ampère equations with prescribed singularity type
Description : Given a Kahler manifold (X, ?), 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. Di Nezza and C.H. Lu, we proposed to solve this same equation with the added constraint ...
Mots clés : Complex analytic and differential geometry 2017, Grenoble, Monge-Ampère, equations, singularity type
Date : 07-06-2017
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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T. Darvas - Complex Monge-Ampère equations with prescribed singularity type
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Canal-U
B. Berndtsson - The curvature of (higher) direct images
Description : 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 ...
Mots clés : Complex analytic and differential geometry 2017, Grenoble, curvature, direct images
Date : 06-06-2017
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
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B. Berndtsson - The curvature of (higher) direct images
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