Évènement

Titouan Carette
LIX, Polytechnique
https://www.lix.polytechnique.fr/Labo/Titouan.CARETTE/

Date(s) : 17/02/2026   iCal
11h00 - 12h00

Applied category theory is always the same. Take a field, reformulate everything into the language of categories and then you get an abstract analog of your theory that you can reuse in another setting, where you are guaranteed that all statements still make sense, but with a new meaning.

Recently, with few colleagues, we started to apply this methodology to symbolic dynamics with the goal to derive an abstract theory that would encompass the classical, probabilistic and quantum setting in one go.

In this talk, I will present one way to categorify symbolic dynamics using the category of relations. I will present some preliminary result on the diagramatical representation of some equivalence relations between dynamical systems, and outline what we expect in the probabilistic and quantum case. No preliminary knowledge in category theory will be required.

Emplacement
I2M Luminy - TPR2, Salle de Séminaire 304-306 (3ème étage)

Catégories

• Séminaire