Braids and quantization (of Poisson-Hopf algebras and related things)(Pavol Severa, UNIGE)

29.02.2024 14:15

I will explain how the replacement of permutations by braids replaces also groups by Hopf algebras (by passing from "symmetric simplicial objects" to "braided simplicial objects"), and how it gives us a deformation quantization of Poisson brackets on commutative Hopf algebras. This story can be seen as a small corner of Chern-Simons theory with suitable boundary conditions. Based on a joint work with Jan Pulmann.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-15, Séminaire "Topologie et Géométrie"

entrée libre