Bialgebras and Lie group actions in Lagrangian Floer Theory

Date/heure
10 septembre 2026
14:15 - 15:15

Lieu
Salle de séminaires Metz

Oratrice ou orateur
Guillem Cazzasus (IECL)

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


Résumé

The homology of a compact Lie group is a Hopf algebra, and in particular a bialgebra. I will present a chain-level counterpart of bialgebras that forms the objects of an infinity category, and that permits to describe compact Lie group actions on Morse complexes and Fukaya categories, in a functorial way. This is related to instanton gauge theory and extended topological field theory.

This talk will provide some context for the constructions explained in my Tuesday talk, although it will be self-contained. It will be based on arXiv:2404.17393, arXiv:2410.16225 with A. Hock and T. Mazuir, and  arXiv:2505.01362.