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| Alessandro Chiodo - Towards global mirror symmetry (Part 3) (en Anglais) | |||
Droits : CC BY-NC-ND 4.0 Auteur(s) : Chiodo Alessandro, Bastien Fanny 29-06-2011 Description : 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. Mots-clés libres : mathématiques,Grenoble,école d'été,courbes,institut fourier,summer school,Gromov-Witten | TECHNIQUE Type : image en mouvement Format : video/x-flv Source(s) : rtmpt://fms2.cerimes.fr:80/vod/institut_fourier/alessandro.chiodo.towards.global.mirror.symmetry.part.3._23536/chiodo_ecoleete_29062011_sd.mp4 | ||
Entrepôt d'origine : Canal-u.fr Identifiant : oai:canal-u.fr:23536 Type de ressource : Ressource documentaire | |||
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| Alessandro Chiodo - Towards global mirror symmetry (Part 3) (en Anglais) | |||||||||
Identifiant de la fiche : 23536 Schéma de la métadonnée : LOMv1.0, LOMFRv1.0 Droits : libre de droits, gratuit Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0 Auteur(s) : CHIODO ALESSANDRO Éditeur(s) : Fanny Bastien 29-06-2011 Description : 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. Mots-clés libres : mathématiques, Grenoble, école d'été, courbes, institut fourier, summer school, Gromov-Witten
| PEDAGOGIQUE Type pédagogique : cours / présentation Niveau : doctorat TECHNIQUE Type de contenu : image en mouvement Format : video/x-flv Taille : 3.18 Go Durée d'exécution : 1 heure 27 minutes 36 secondes RELATIONS Cette ressource fait partie de : | ||||||||
Entrepôt d'origine : Canal-u.fr Identifiant : oai:canal-u.fr:23536 Type de ressource : Ressource pédagogique | |||||||||
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