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 :

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) Valentin OVSIENKO - Reims,
Titre Combinatorial and analytic properties of q-deformed real numbers
Horaire14:00 à 15:00
RésumeI will explain a recent notion of q-deformed real numbers, and discuss its various combinatorial and analytic properties. A " q-deformed real" is a Laurent series in one variable, q, with integer coefficients. The subject is connected to different theories, such as knot invariants, continued fractions, and cluster algebras. I will formulate a challenging conjecture about the convergence of the series arising as q-deformed real numbers. (Here we understand q as a complex variable.) The conjecture is proved in particular cases and concrete examples. In the most simple examples of q-Fibonacci and q-Pell numbers, the explicit formulas for the radius of convergence are very similar to certain formulas of Ramanujan. The talk is based on a joint work with Ludivine Leclere, Sophie Morier-Genoud and Alexander Veselov.
SalleInfo sur https://researchseminars.org/seminar/paris-algebra-seminar