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. Info sur https://researchseminars.org/seminar/paris-algebra-seminar
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) Gregg MUSIKER - Minnesota,
Titre Combinatorial Expansion Formulas for Decorated Super-Teichmüller Spaces
Date26/04/2021
Horaire14:00 à 15:00
Diffusion
RésumeMotivated by the definition of super Teichmuller spaces, and Penner-Zeitlin's recent extension of this definition to decorated super Teichmuller space, as examples of super Riemann surfaces, we use the super Ptolemy relations to obtain formulas for super lambda-lengths associated to arcs in a bordered surface. In the special case of a disk, we are able to give combinatorial expansion formulas for the super lambda-lengths associated to diagonals of a polygon in the spirit of Ralf Schiffler's T-path formulas for type A cluster algebras. We further connect our formulas to the super-friezes of Morier-Genoud, Ovsienko, and Tabachnikov, and obtain partial progress towards defining super cluster algebras of type A. In particular, following Penner-Zeitlin, we are able to get formulas (up to signs) for the mu-invariants associated to triangles in a triangulated polygon, and explain how these provide a step towards understanding odd variables of a super cluster algebra. This is joint work with Nicholas Ovenhouse and Sylvester Zhang.
Salleà distance / remote. Info sur https://researchseminars.org/seminar/paris-algebra-seminar
AdresseIHP
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