Multi angle
Geometric approach to Hitchin components via punctual Hilbert schemes
Auteurs : Thomas, Alexander (Auteur de la Conférence)
CIRM (Editeur )
CIRM (Editeur )
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Résumé :
I will describe a program to describe Hitchin components as the moduli space of some new geometric structure on the surface. This geometric structure generalizes the complex structure. Its construction uses the punctual Hilbert scheme of the plane. It should give a unified description of Hitchin components without fixed complex structure on the surface. I also present a generalization to character varieties for non split real groups in the spirit of G-Higgs bundles.
Keywords : Hitchin component; higher Teichmüller theory; geometric structures; punctual Hilbert scheme
Codes MSC : Keywords : Hitchin component; higher Teichmüller theory; geometric structures; punctual Hilbert scheme
14C05 - Parametrization (Chow and Hilbert schemes)
14D21 - applications of vector bundles and moduli spaces in mathematical physics
30F60 - Teichmüller theory
53C15 - General geometric structures on manifolds (almost complex, contact, symplectic, almost product structures, etc.)
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2216/Slides/Thomas_Slides.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 23/10/2020 Date de captation : 09/10/2020 Collection : Research talks ; Geometry ; Mathematical Physics Format : MP4 Durée : 01:07:52 Domaine : Geometry ; Mathematical Physics Audience : Chercheurs ; Doctorants , Post - Doctorants Download : https://videos.cirm-math.fr/2020-10-08_Thomas.mp4 
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Informations sur la rencontre
Nom de la rencontre : Teichmüller Theory: Classical, Higher, Super and Quantum / Théorie de Teichmüller : classique, supérieure, super et quantiqueOrganisateurs de la rencontre : Ohshika, Ken'ichi ; Papadopoulos, Athanase ; Penner, Robert C. ; Wienhard, Anna Dates : 05/10/2020 - 10/10/2020 Année de la rencontre : 2020 URL Congrès : https://conferences.cirm-math.fr/2216.html Citation Data
DOI : 10.24350/CIRM.V.19656703Cite this video as: Thomas, Alexander (2020). Geometric approach to Hitchin components via punctual Hilbert schemes. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19656703 URI : http://dx.doi.org/10.24350/CIRM.V.19656703 |
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