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Franc Forstnerič - Non singular holomorphic foliations on Stein manifolds (Part 1)
/ Fanny Bastien
/ 19-06-2012
/ Canal-u.fr
Forstnerič Franc
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Voir le résumé
A nonsingular holomorphic foliation of codimension on a complex manifold is locally given by the level sets of a holomorphic submersion to the Euclidean space . If
is a Stein manifold, there also exist plenty of global foliations of
this form, so long as there are no topological obstructions. More
precisely, if then any -tuple of pointwise linearly independent (1,0)-forms can be continuously deformed to a -tuple of differentials where is a holomorphic submersion of to . Such a submersion always exists if is no more than the integer part of . More generally, if is a complex vector subbundle of the tangent bundle such that is a flat bundle, then is homotopic (through complex vector subbundles of ) to an integrable subbundle, i.e., to the tangent bundle of a nonsingular holomorphic foliation on .
I will prove these results and discuss open problems, the most
interesting one of them being related to a conjecture of Bogomolov. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, courbes, institut fourier, summer school, feuilletages, holomorphic foliations
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Semyon Dyatlov - Spectral gaps for normally hyperbolic trapping
/ Fanny Bastien
/ 30-06-2014
/ Canal-u.fr
Dyatlov Semyon
Voir le résumé
Voir le résumé
Motivated by wave decay for Kerr and Kerr de Sitter black holes, we study spectral gaps for codimension 2 normally hyperbolic trapped sets with smooth stable/unstable foliations. Using semiclassical defect measures, we recover the gap of Wunsch Zworski and Nonnenmacher Zworski in our case. Under the stronger assumptions of r normal hyperbolicity and pinching, we discover further spectral gaps, meaning that resonances are stratified into bands by decay rates. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, General Relativity, institut fourier, summer school, asymptotic analysis
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Julien Duval - Kobayashi pseudo-metrics, entire curves and hyperbolicity of algebraic varieties 2/2
/ Fanny Bastien
/ 29-06-2012
/ Canal-u.fr
Duval Julien
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Voir le résumé
indisponible Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, feuilletages, COURBES PSEUDOHOLOMORPHES
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Julien Duval - Kobayashi pseudo-metrics, entire curves and hyperbolicity of algebraic varieties 1/2
/ Fanny Bastien
/ 28-06-2012
/ Canal-u.fr
Duval Julien
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Voir le résumé
indisponible Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, feuilletages, COURBES PSEUDOHOLOMORPHES
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Fabien Durand - Sur le Théorème de Cobham (Part 1)
/ Fanny Bastien
/ 26-06-2013
/ Canal-u.fr
Durand Fabien
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Voir le résumé
indisponible Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, dynamics, institut fourier, summer school, number theory
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Eric Driver - A number field database
/ Fanny Bastien
/ 13-01-2016
/ Canal-u.fr
Driver Eric
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Voir le résumé
indisponible Mot(s) clés libre(s) : mathématiques, colloques, Grenoble (Isère), institut fourier
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Jeroen Demeyer - The PARI Jupyter notebook
/ Fanny Bastien
/ 12-01-2016
/ Canal-u.fr
Demeyer Jeroen
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Voir le résumé
indisponible Mot(s) clés libre(s) : mathématiques, colloques, Grenoble (Isère), institut fourier
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Jean-Pierre Demailly - Kobayashi pseudo-metrics, entire curves and hyperbolicity of algebraic varieties (Part 1)
/ Fanny Bastien
/ 18-06-2012
/ Canal-u.fr
Demailly Jean-Pierre
Voir le résumé
Voir le résumé
We
will first introduce the basic concepts pertaining to Kobayashi
pseudo-distances and hyperbolic complex spaces, including Brody’s
theorem and the Ahlfors-Schwarz lemma. One of the main goals of the
theory is to understand conditions under which a given algebraic variety
is Kobayashi hyperbolic. This leads to the introduction of jet spaces
and jet metrics, and provides a strong link between the existence of
entire curves and the existence of global algebraic differential
equations. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, COURBES PSEUDOHOLOMORPHES
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Camillo De Lellis - Center manifolds and regularity of area-minimizing currents (Part 5)
/ Fanny Bastien
/ 25-06-2015
/ Canal-u.fr
De Lellis Camillo
Voir le résumé
Voir le résumé
A celebrated
theorem of Almgren shows that every integer rectifiable current which
minimizes (locally) the area is a smooth submanifold except for a
singular set of codimension at most 2. Almgren’s theorem is sharp in
codimension higher than 1, because holomorphic subvarieties of Cn are
area-minimizing. In fact the typical singularity of a 2-dimensional
area-minimizing current is modelled by branch points of holomorphic
curves. These singularities are rather difficult to analyze because they
might be very high order phenomena. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation
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Camillo De Lellis - Center manifolds and regularity of area-minimizing currents (Part 2)
/ Fanny Bastien
/ 23-06-2015
/ Canal-u.fr
De Lellis Camillo
Voir le résumé
Voir le résumé
A celebrated
theorem of Almgren shows that every integer rectifiable current which
minimizes (locally) the area is a smooth submanifold except for a
singular set of codimension at most 2. Almgren’s theorem is sharp in
codimension higher than 1, because holomorphic subvarieties of Cn are
area-minimizing. In fact the typical singularity of a 2-dimensional
area-minimizing current is modelled by branch points of holomorphic
curves. These singularities are rather difficult to analyze because they
might be very high order phenomena. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation
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Accéder à la ressource
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