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- W3035384294 abstract "Cette these comprend deux parties. La premiere partie porte sur la structure quasi-Poisson sur l’espace des connexions plates. D’abord nous generalisons la formule de Gold-man concernant le crochet de Poisson pour l’espace des modules de connexions plates dansle cadre quasi-Poisson. Puis nous appliquons la theorie quasi-Poisson aux espaces de confi-gurations de drapeaux au sens large, en montrant que l’espace des modules de connexionsplates avec ossatures provient d’une reduction quasi-Poisson. Ceci implique en particulierque la structure de Poisson de Fock-Goncharov coincide avec celle d’Atiyah-Bott. Enfin,nous discutons de quantifications par deformation de varietes quasi-Poisson.La deuxieme partie traite un probleme independant concernant la metrique de Hilbertsur les varietes projectives reelles convexes. En repondant a une question de M. Crampon,nous montrons que l’entropie volumique d’une famille a un parametre explicite d’orbifoldsprojectifs convexes tend vers zero." @default.
- W3035384294 created "2020-06-19" @default.
- W3035384294 creator A5048289161 @default.
- W3035384294 date "2013-06-28" @default.
- W3035384294 modified "2023-09-25" @default.
- W3035384294 title "Quasi-Poisson structures on moduli spaces of flat connections, entropy of simplicial Tits sets" @default.
- W3035384294 hasPublicationYear "2013" @default.
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