Séminaires : Séminaire d'Algèbre

Equipe(s) : gr,
Responsables :J. Alev, D. Hernandez, B. Keller, Th. Levasseur, et S. Morier-Genoud.
Email des responsables : Jacques Alev <jacques.alev@univ-reims.fr>, David Hernandez <david.hernandez@imj-prg.fr>, Bernhard Keller <bernhard.keller@imj-prg.fr>, Thierry Levasseur <Thierry.Levasseur@univ-brest.fr>, Sophie Morier-Genoud <sophie.morier-genoud@imj-prg.fr>
Salle : à distance / remote
Adresse :IHP

Depuis le 23 mars 2020, le séminaire se tient à distance. Pour les liens et mots de passe, merci de contacter l'un des organisateurs ou de souscrire à la liste de diffusion https://listes.math.cnrs.fr/wws/info/paris-algebra-seminar. L'information nécessaire sera envoyée par courrier électronique peu avant chaque exposé. Les notes et transparents sont disponibles ici.


Since March 23, 2020, the seminar has been taking place remotely. For the links and passwords, please contact one of the organizers or

subscribe to the mailing list at https://listes.math.cnrs.fr/wws/info/paris-algebra-seminar. The connexion information will be emailed shortly before each talk. Slides and notes are available here.


Orateur(s) Tsukasa ISHIBASHI - Tokyo,
Titre Cluster realizations of Coxeter groups and their relations with higher Teichmuller spaces (Projet ERC QAffine)
Horaire14:00 à 15:00
RésumeFor a Coxeter group $W$ satisfying some mild conditions, we construct a family of seeds such that the corresponding cluster modular group contains $W$ as a subgroup. It is a generalization of the construction for type $A_n$ given by Inoue-Lam-Pylyavskyy. Moreover, we show that one of our seed for type $A_n$ is mutation- equivalent to the $SL_{n+1}$-higher Teichmuller seed for the punctured disk with even number of marked points on its boundary. In particular $W(A_n)$ acts on the moduli space of decorated (twisted) local systems. We show that this action coincides with that given by Goncharov-Shen, which is also a cluster action. This talk is based on a joint work with Rei Inoue.
Salleà distance / remote