Deformation Quantization of Categories and Moduli spaces of Flat Connections (Jan PULMANN, Mittag-Leffler Institute, Stockholm)

25.03.2025 16:10 – 17:00

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].

Lieu

Bâtiment: Conseil Général 7-9

Room 1-07, Séminaire "Groupes de Lie et espaces de modules"

entrée libre