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Yuan-Pin Lee - Introduction to Gromov-Witten theory and the crepant transformation conjecture (Part 4)
/ Fanny Bastien
/ Canal-u.fr
Voir le résumé
Voir le résumé
In these lectures, Gromov{Witten theory will be introduced, assuming only basic
moduli theory covered in the rst week of the School. Then the Crepant Transformation Conjecture
will be explained. Some examples, with emphasis on the projective/global cases, will be given.
Note: The construction of virtual fundamental class, which forms the foundation of the GW theory,
will be given in Jun Li's concurrent lectures and will not be explained here. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, courbes, institut fourier, summer school, Gromov-Witten
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Yuan-Pin Lee - Introduction to Gromov-Witten theory and the crepant transformation conjecture (Part 2)
/ Fanny Bastien
/ 30-06-2011
/ Canal-u.fr
Lee Yuan-Pin
Voir le résumé
Voir le résumé
In these lectures, Gromov{Witten theory will be introduced, assuming only basic
moduli theory covered in the rst week of the School. Then the Crepant Transformation Conjecture
will be explained. Some examples, with emphasis on the projective/global cases, will be given.
Note: The construction of virtual fundamental class, which forms the foundation of the GW theory,
will be given in Jun Li's concurrent lectures and will not be explained here. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, courbes, institut fourier, summer school, Gromov-Witten
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Yoshihiro Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 5)
/ Fanny Bastien
/ 18-06-2015
/ Canal-u.fr
Tonegawa Yoshihiro
Voir le résumé
Voir le résumé
The course covers two separate
but closely related topics. The first topic is the mean curvature flow
in the framework of GMT due to Brakke. It is a flow of varifold moving
by the generalized mean curvature. Starting from a quick review on the
necessary tools and facts from GMT and the definition of the Brakke mean
curvature flow, I will give an overview on the proof of the local
regularity theorem. The second topic is the reaction-diffusion
approximation of phase boundaries with key words such as the
Modica-Mortola functional and the Allen-Cahn equation. Their singular
perturbation problems are related to objects such as minimal surfaces
and mean curvature flows in the framework of GMT. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation
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Yoshihiro Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 4)
/ Fanny Bastien
/ 17-06-2015
/ Canal-u.fr
Tonegawa Yoshihiro
Voir le résumé
Voir le résumé
The course covers two separate
but closely related topics. The first topic is the mean curvature flow
in the framework of GMT due to Brakke. It is a flow of varifold moving
by the generalized mean curvature. Starting from a quick review on the
necessary tools and facts from GMT and the definition of the Brakke mean
curvature flow, I will give an overview on the proof of the local
regularity theorem. The second topic is the reaction-diffusion
approximation of phase boundaries with key words such as the
Modica-Mortola functional and the Allen-Cahn equation. Their singular
perturbation problems are related to objects such as minimal surfaces
and mean curvature flows in the framework of GMT. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation
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Yoshihiro Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 3)
/ Fanny Bastien
/ 17-06-2015
/ Canal-u.fr
Tonegawa Yoshihiro
Voir le résumé
Voir le résumé
The course covers two separate
but closely related topics. The first topic is the mean curvature flow
in the framework of GMT due to Brakke. It is a flow of varifold moving
by the generalized mean curvature. Starting from a quick review on the
necessary tools and facts from GMT and the definition of the Brakke mean
curvature flow, I will give an overview on the proof of the local
regularity theorem. The second topic is the reaction-diffusion
approximation of phase boundaries with key words such as the
Modica-Mortola functional and the Allen-Cahn equation. Their singular
perturbation problems are related to objects such as minimal surfaces
and mean curvature flows in the framework of GMT. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation
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Yoshihiro Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 2)
/ Fanny Bastien
/ 16-06-2015
/ Canal-u.fr
Tonegawa Yoshihiro
Voir le résumé
Voir le résumé
The course covers two separate
but closely related topics. The first topic is the mean curvature flow
in the framework of GMT due to Brakke. It is a flow of varifold moving
by the generalized mean curvature. Starting from a quick review on the
necessary tools and facts from GMT and the definition of the Brakke mean
curvature flow, I will give an overview on the proof of the local
regularity theorem. The second topic is the reaction-diffusion
approximation of phase boundaries with key words such as the
Modica-Mortola functional and the Allen-Cahn equation. Their singular
perturbation problems are related to objects such as minimal surfaces
and mean curvature flows in the framework of GMT. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation
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Yoshihiro Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 1)
/ Fanny Bastien
/ 15-06-2015
/ Canal-u.fr
Tonegawa Yoshihiro
Voir le résumé
Voir le résumé
The course covers two separate
but closely related topics. The first topic is the mean curvature flow
in the framework of GMT due to Brakke. It is a flow of varifold moving
by the generalized mean curvature. Starting from a quick review on the
necessary tools and facts from GMT and the definition of the Brakke mean
curvature flow, I will give an overview on the proof of the local
regularity theorem. The second topic is the reaction-diffusion
approximation of phase boundaries with key words such as the
Modica-Mortola functional and the Allen-Cahn equation. Their singular
perturbation problems are related to objects such as minimal surfaces
and mean curvature flows in the framework of GMT. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation
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Xiangyu Liang - An example of proving Almgrem's minimality by product of paired calibrations
/ Fanny Bastien
/ 02-07-2015
/ Canal-u.fr
Liang Xiangyu
Voir le résumé
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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Valérie Berthé - Fractions continues multidimensionnelles et dynamique (Part 3)
/ Fanny Bastien
/ 21-06-2013
/ Canal-u.fr
Berthé Valérie
Voir le résumé
Voir le résumé
Le
but de cet exposé est de présenter des généralisations
multidimensionnelles des fractions continues et de l’algorithme
d’Euclide d’un point de vue systèmes dynamiques, en nous concentrant sur
les liens avec la numération et les substitutions. Nous allons
considérer principalement deux types de généralisations, à savoir, les
algorithmes définis par homographies, comme l’algorithme de
Jacobi-Perron, et les fractions continues associées aux algorithmes de
réduction dans les réseaux. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, dynamics, institut fourier, summer school, number theory
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Valérie Berthé - Fractions continues multidimensionnelles et dynamique (Part 2)
/ Fanny Bastien
/ Canal-u.fr
Voir le résumé
Voir le résumé
Le
but de cet exposé est de présenter des généralisations
multidimensionnelles des fractions continues et de l’algorithme
d’Euclide d’un point de vue systèmes dynamiques, en nous concentrant sur
les liens avec la numération et les substitutions. Nous allons
considérer principalement deux types de généralisations, à savoir, les
algorithmes définis par homographies, comme l’algorithme de
Jacobi-Perron, et les fractions continues associées aux algorithmes de
réduction dans les réseaux. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, dynamics, institut fourier, summer school, number theory
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Accéder à la ressource
|
|
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<< Page précédente
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