Tri :
Date
Editeur
Auteur
Titre
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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
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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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Guy David - Minimal sets (Part 3)
/ Fanny Bastien
/ 24-06-2015
/ Canal-u.fr
David Guy
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Voir le résumé
indisponible Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation
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Guy David - Minimal sets (Part 1)
/ Fanny Bastien
/ 23-06-2015
/ Canal-u.fr
David Guy
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Voir le résumé
indisponible Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation, minimal sets
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Claudio Dappiaggi - On the role of asymptotic structures in the construction of quantum states for free field theories on curved backgrounds
/ Fanny Bastien
/ 03-07-2014
/ Canal-u.fr
Dappiaggi Claudio
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Voir le résumé
In the algebraic approach to quantum field theory on curved backgrounds, there exists a special class of quantum states for free fields, called of Hadamard form. These are of particular relevance since they yield finite quantum fluctuations of all observables and they can be used to implement interactions at a perturbative level. Although their existence is guaranteed on all globally hyperbolic spacetimes, for long time only few explicit examples were known. A way to bypass this problem exists on those manifolds which possess a null conformal boundary, such as all asymptotically flat spacetimes. In this talk we shall discuss this construction in particular for massless, conformally coupled scalar fields and for linearised gravity. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, General Relativity, institut fourier, summer school, asymptotic analysis
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Karma Dajani - An introduction to Ergodic Theory of Numbers (Part 2)
/ Fanny Bastien
/ 19-06-2013
/ Canal-u.fr
Dajani Karma
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Voir le résumé
In this course we give an introduction to the ergodic theory behind common number expansions, like expansions to integer and non-integer bases, Luroth series and continued fraction expansion. Starting with basic ideas in ergodic theory such as ergodicity, the ergodic theorem and natural extensions, we apply these to the familiar expansions mentioned above in order to understand the structure and global behaviour of different number theoretic expansions, and to obtain new and old results in an elegant and straightforward manner. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, dynamics, institut fourier, summer school, number theory
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Karma Dajani - An introduction to Ergodic Theory of Numbers (Part 1)
/ Fanny Bastien
/ 17-06-2013
/ Canal-u.fr
Dajani Karma
Voir le résumé
Voir le résumé
In
this course we give an introduction to the ergodic theory behind common
number expansions, like expansions to integer and non-integer bases,
Luroth series and continued fraction expansion. Starting with basic
ideas in ergodic theory such as ergodicity, the ergodic theorem and
natural extensions, we apply these to the familiar expansions mentioned
above in order to understand the structure and global behaviour of
different number theoretic expansions, and to obtain new and old results
in an elegant and straightforward manner. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, dynamics, institut fourier, summer school, number theory
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Mihalis Dafermos - The "inside story" of black hole stability
/ Fanny Bastien
/ 30-06-2014
/ Canal-u.fr
Dafermos Mihalis
Voir le résumé
Voir le résumé
TBA Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, General Relativity, institut fourier, summer school, asymptotic analysis
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