| Orateur(s) | Roland van der Veen - Rijksuniversiteit Groningen,
|
| Titre | [K-OS] Hopf algebras and 3-manifolds |
| Date | 16/12/2021 |
| Horaire | 14:00 à 15:00 |
|
| Diffusion | https://lrobert.perso.math.cnrs.fr/join-kos.html |
| Résume | Why do Hopf algebras turn up so often in studying (quantum) invariants
of 3-manifolds? What is their three-dimensional significance? We
argue that any Hopf algebra expression can be interpreted as a marked
(sutured, framed) 3-manifold and vice versa. By a Hopf algebra
expression we mean any composition of (co)-products and antipodes.
Composition of the Hopf algebra maps should correspond to gluing the
marked 3-manifolds appropriately. For closed 3-manifolds our
correspondence is inspired by the Kuperberg invariant. This is joint
work in progress with Daniel Neumann and Dylan Thurston. |
| Salle | 1016 |
| Adresse | Sophie Germain
|
