23–26 sept. 2024
ICJ
Fuseau horaire Europe/Paris

Modular deformations of Lie algebras - from sl(2) to Virasoro

25 sept. 2024, 11:30
1h
Fokko du Cloux (ICJ)

Fokko du Cloux

ICJ

21 avenue Claude BERNARD & 4 rue Ada BYRON VILLEURBANNE

Orateur

Alexander Thomas (Université Claude Bernard Lyon 1)

Description

In this talk, I introduce new q-deformations of Lie algebras linked to the modular group and the q-rational numbers of Morier-Genoud and Ovsienko. In particular, a deformation of the Lie algebra sl(2), the Witt algebra and a glimpse on the Virasoro algebra will be presented. These deformations are realized through concrete differential operators and lead to a new understanding of q-rationals.

Documents de présentation

Aucun document.