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Aaron Pixton - The stable pairs equivariant descendent vertex
/ Fanny Bastien
/ 05-07-2011
/ Canal-u.fr
Pixton Aaron
Voir le résumé
Voir le résumé
The counting function associated to the moduli space of stable pairs on a 3-fold
X
is conjectured to give the Laurent expansion of a rational function. For toric
X
, this conjecture can
be proven by a careful grouping of the box con gurations appearing in the stable pairs equivariant
descendent vertex. I will describe this approach and then say a little about how it might also be used
to study the Donaldson{Thomas vertex. This talk presents joint work with Rahul Pandharipande. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, courbes, summer school, Gromov-Witten, isntitut fourier
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Alessandro Chiodo - Towards global mirror symmetry (Part 1)
/ Fanny Bastien
/ 27-06-2011
/ Canal-u.fr
Chiodo Alessandro
Voir le résumé
Voir le résumé
Mirror symmetry is a phenomenon which inspired fundamental progress in a wide range of disciplines in mathematics and physics in the last twenty years; we will review here a number of results going from the enumerative geometry of curves to homological algebra. These advances justify the introduction of new techniques, which are interesting in their own right. Among them, Gromov{Witten theory and its variants allow us to provide are ned statement of mirror symmetry. Of course this leads to further open questions (despite much e ort and progress, Gromov{Witten theory remains unknown in high genus for the quintic threefold). In this course, we will illustrate the natural problem of moving beyond the local mirror symmetry statement and completing a framework of global mirror symmetry which is gradually taking shape. We will show how the missing piece in this picture comes unexpectedly from a classical subject in algebraic geometry: the theory of curves with level structures. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, courbes, institut fourier, summer school, Gromov-Witten
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Alessandro Chiodo - Towards global mirror symmetry (Part 2)
/ Fanny Bastien
/ 28-06-2011
/ Canal-u.fr
Chiodo Alessandro
Voir le résumé
Voir le résumé
Mirror symmetry is a phenomenon which inspired fundamental progress in a wide range of disciplines in mathe-
matics and physics in the last twenty years; we will review here a number of results going from the enumerative
geometry of curves to homological algebra. These advances justify the introduction of new techniques, which
are interesting in their own right. Among them, Gromov{Witten theory and its variants allow us to provide a
re ned statement of mirror symmetry. Of course this leads to further open questions (despite much e ort and
progress, Gromov{Witten theory remains unknown in high genus for the quintic threefold). In this course, we
will illustrate the natural problem of moving beyond the local mirror symmetry statement and completing a
framework of global mirror symmetry which is gradually taking shape. We will show how the missing piece in
this picture comes unexpectedly from a classical subject in algebraic geometry: the theory of curves with level
structures. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, courbes, institut fourier, summer school, Gromov-Witten
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Alessandro Chiodo - Towards global mirror symmetry (Part 3)
/ Fanny Bastien
/ 29-06-2011
/ Canal-u.fr
Chiodo Alessandro
Voir le résumé
Voir le résumé
Mirror symmetry is a phenomenon which inspired fundamental progress in a wide range of disciplines in mathe-
matics and physics in the last twenty years; we will review here a number of results going from the enumerative
geometry of curves to homological algebra. These advances justify the introduction of new techniques, which
are interesting in their own right. Among them, Gromov{Witten theory and its variants allow us to provide a
re ned statement of mirror symmetry. Of course this leads to further open questions (despite much e ort and
progress, Gromov{Witten theory remains unknown in high genus for the quintic threefold). In this course, we
will illustrate the natural problem of moving beyond the local mirror symmetry statement and completing a
framework of global mirror symmetry which is gradually taking shape. We will show how the missing piece in
this picture comes unexpectedly from a classical subject in algebraic geometry: the theory of curves with level
structures. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, courbes, institut fourier, summer school, Gromov-Witten
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Alexandre Sukhov - J-complex curves: some applications (Part 3)
/ Fanny Bastien
/ 27-06-2012
/ Canal-u.fr
Sukhov Alexandre
Voir le résumé
Voir le résumé
We
will focus in our lectures on the following : 1. J-complex discs in
almost complex manifolds : general properties. Linearization and
compactness. Gromov’s method : the Fredholm alternative for the d-bar
operator. Attaching a complex disc to a Lagrangian manifold.
Application : exotic symplectic structures. Hulls of totally real
manifolds : Alexander’s theorem. 2. Real surfaces in (almost) complex
surfaces. Filling real 2-spheres by a Levi-flat hypersurface (Bedford
-Gaveau-Gromov theorem). Some applications. Symplectic and contact
structures. Reeb foliation and the Weinsten conjecture. Hofer’s proof of
the Weinstein conjecture. 3. J-complex lines and hyperbolicity. The KAM
theory and Moser’s stability theorem for entire J-complex curves in
tori. Global deformation and Bangert’s theorem. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, feuilletages, COURBES PSEUDOHOLOMORPHES
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Alexandre Sukhov - J-complex curves: some applications (Part 4)
/ Fanny Bastien
/ 28-06-2012
/ Canal-u.fr
Sukhov Alexandre
Voir le résumé
Voir le résumé
We
will focus in our lectures on the following : 1. J-complex discs in
almost complex manifolds : general properties. Linearization and
compactness. Gromov’s method : the Fredholm alternative for the d-bar
operator. Attaching a complex disc to a Lagrangian manifold.
Application : exotic symplectic structures. Hulls of totally real
manifolds : Alexander’s theorem. 2. Real surfaces in (almost) complex
surfaces. Filling real 2-spheres by a Levi-flat hypersurface (Bedford
-Gaveau-Gromov theorem). Some applications. Symplectic and contact
structures. Reeb foliation and the Weinsten conjecture. Hofer’s proof of
the Weinstein conjecture. 3. J-complex lines and hyperbolicity. The KAM
theory and Moser’s stability theorem for entire J-complex curves in
tori. Global deformation and Bangert’s theorem. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, feuilletages, COURBES PSEUDOHOLOMORPHES
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Andrei Teleman - Instantons and holomorphic curves on surfaces of class VII (Part 1)
/ Fanny Bastien
/ 02-07-2012
/ Canal-u.fr
Teleman Andrei
Voir le résumé
Voir le résumé
This
series of lectures is dedicated to recent results concerning the
existence of holomorphic curves on the surfaces of class VII. The first
lecture will be an introduction to the Donaldson theory. We will present
the fundamental notions and some important results in the theory,
explaining ideas of the proofs. In the second lecture we will present
the theory of holomorphic fiber bundles on complex surfaces, the
stability notion, moduli spaces and the Kobayashi-Hitschin
correspondence that links moduli spaces of stable fiber bundles (defined
in the fram of complex geometry) to moduli spaces of instantons
(defined in the frame of the Donaldson theory). In the last two lectures
we will prove the existence of holomorphic curves on minimal surfaces
of class VII with b2=1 or 2 and we will present the general strategy and
the last results obtained in the general case. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, feuilletages, COURBES PSEUDOHOLOMORPHES
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Andrei Teleman - Instantons and holomorphic curves on surfaces of class VII (Part 2)
/ Fanny Bastien
/ 03-07-2012
/ Canal-u.fr
Teleman Andrei
Voir le résumé
Voir le résumé
This
series of lectures is dedicated to recent results concerning the
existence of holomorphic curves on the surfaces of class VII. The first
lecture will be an introduction to the Donaldson theory. We will present
the fundamental notions and some important results in the theory,
explaining ideas of the proofs. In the second lecture we will present
the theory of holomorphic fiber bundles on complex surfaces, the
stability notion, moduli spaces and the Kobayashi-Hitschin
correspondence that links moduli spaces of stable fiber bundles (defined
in the fram of complex geometry) to moduli spaces of instantons
(defined in the frame of the Donaldson theory). In the last two lectures
we will prove the existence of holomorphic curves on minimal surfaces
of class VII with b2=1 or 2 and we will present the general strategy and
the last results obtained in the general case. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, feuilletages, COURBES PSEUDOHOLOMORPHES
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CAV 2011 – Courbe d’apprentissage en chirurgie robotique.
/ Canal-U/Sciences de la Santé et du Sport
/ 17-06-2011
/ Canal-U - OAI Archive
ROUPRET Morgan
Voir le résumé
Voir le résumé
Titre : CAV 2011 – Courbe d’apprentissage en chirurgie robotique.Intervenants : Morgan ROUPRET (Paris). Résumé : Demande des patients et du public d’avoir des informations sur ces nouvelles technologies chirurgicales faisant appel à la robotique. Il reste cependant important de garder et de recourir dans certains cas à la chirurgie ouverte. La vision en 3D à profondément modifié la façon de procéder. L’objectif fonctionnel est primordial.Ces courbes d’apprentissage existent, elles rapportent la morbidité opératoire, elles sont un apport de l’expert intéressant pour réduire le risque inhérent (fonctionnel ou vital) à chaque intervention, mais elles sont dépendantes de l’opérateur et des conditions environnementales.L’auteur n’a pas transmis de conflit d’intérêt concernant les données diffusées dans cette vidéo ou publiées dans la référence citée.Conférence enregistrée lors de la réunion thématique du Centre Régional Anticancéreux Alexis Vautrin de Nancy le 17 juin 2011 : 2ème journée de chirurgie robotique en gynécologie. Vendredi 17 juin 2011. Quel enseignement de la chirurgie robotique pour les jeunes chirurgiens ?Réalisation, production : Canal U/3S Mot(s) clés libre(s) : CAV 2011, chirurgie, courbe d’apprentissage, gynécologie, robotique
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Changement d'état du corps pur
/ SILLAGES
/ 02-03-2010
/ Unisciel
Decout Damien
Voir le résumé
Voir le résumé
Ce cours traite de l'équilibre du corps pur sous deux phases, des fonctions d'état du corps pur sous deux phases. Mot(s) clés libre(s) : corps pur, variance, diagramme, isothermes, courbe de saturation, théorème des moments
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