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
Description

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) Hugh THOMAS - New Brunswick et Bonn,
Titre ``Dual'' Garside structures for finite-type Artin groups via quiver representations
Date06/10/2008
Horaire14:30 à 15:30
Diffusion
RésumeThe Artin groups of type A are the braid groups; for any Coxeter group, there is an associated Artin group, which is called finite type if the Coxeter group is finite.There is a standard presentation for Artin group analogous to the standard presentation for Coxeter groups. A useful property of the standard presentation for Artin groups of finite type is that there is an associated Garside structure. This gives, for example, an algorithm for computing a normal form for elements of the Artin group. \par Bessis introduced a ``dual'' presentation for finite type Artin groups (extending work of Birman-Ko-Lee in type A) which also has this Garside property, and which is, in some respects, computationally preferable. The proofs of Bessis's results make use of type-by-type arguments and computer checks for the exceptional types. I will explain an alternative approach to this Garside structure (in crystallographic cases only) using the representation theory of Dynkin quivers in which the proofs are carried out in a uniform way. Time permitting, I will also discuss conjectural applications to non-finite-type Artin groups.
Salleà distance / remote
AdresseIHP
© IMJ-PRG