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 : Info sur https://researchseminars.org/seminar/paris-algebra-seminar
Adresse :
Description

Le séminaire est prévu en présence à l'IHP et 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) Nicholas Ovenhouse - Yale,
Titre Higher q-Rational Numbers
Date09/12/2024
Horaire14:00 à 15:00
Diffusion
Résume

The classical q-integers were generalized to rational numbers by Morier-Genoud and Ovsienko by q-deforming the continued fraction expressions. These "q-rationals" have several nice properties, and are related to many interesting things (such as cluster algebras, hyperbolic geometry, and Jones polynomials). I will discuss how one natural generalization of the q-rationals is given by ratios of generating functions for "P-partitions" on certain types of posets, and that some of the properties of q-rationals hold more generally in this case. We are able to use this to give some quantizations of cubic (and other algebraic) numbers, generalizing a result of Morier-Genoud and Leclere on quadratic irrationals.

This talk will take place on Zoom only.

SalleInfo sur https://researchseminars.org/seminar/paris-algebra-seminar
Adresse
© IMJ-PRG