Deformation quantization of categories and moduli spaces of flat connections.

Date/heure
5 février 2026
14:15 - 15:15

Lieu
Salle de séminaires Metz

Oratrice ou orateur
Jan Pulmann (Charles University)

Catégorie d'évènement
Séminaire Théorie de Lie, Géométrie et Analyse


Résumé

Factorization homology can be used to assign functorial invariants to surfaces, starting from a braided monoidal category. If this category is obtained by deforming a symmetric monoidal category, this deformation can be tracked through factorization homology. Applying this to the cases of the Drinfeld-Jimbo quantum groups and Drinfeld’s quasi-triangular quasi-Hopf algebras, we obtain the  Fock-Rosly and the Alekseev-Malkin-Meinrenken bivectors as well as their quantizations, in terms of fusion and skein theory. Based on joint work with Eilind Karlsson, Corina Keller and Lukas Mueller [arxiv:2410.12516].