21 mai 2025
Batiment Carnot, École Nationale des Ponts et Chaussées
Fuseau horaire Europe/Paris

Braid normal forms and combinatorics.

21 mai 2025, 13:30
30m
Amphi Cauchy (Batiment Carnot, École Nationale des Ponts et Chaussées)

Amphi Cauchy

Batiment Carnot, École Nationale des Ponts et Chaussées

Cité Descartes, 8 Av. Blaise Pascal 6 et, 77420 Champs-sur-Marne

Orateur

June Roupin (LIGM)

Description

A mathematical braid is a set of threads whose topological structure we wish to study. These objects can also be seen as an equivalence class of words, where each word corresponds to a different way of producing the same braid. A very natural problem is the choice of a single representative word for each braid, in order to be able to compare efficiently and make quick computations on the braids: this is called a normal form. I'm going to present a few classic normal forms and explain their strengths.

Documents de présentation

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