16–19 Sept 2025
Palazzo del Castelletto
Europe/Rome timezone

On faithful representations of the braid group

16 Sept 2025, 14:30
1h
Aula Dini (Palazzo del Castelletto)

Aula Dini

Palazzo del Castelletto

Via del Castelletto, 17/1, 56126 Pisa PI

Speaker

Prof. Anne-Laure Thiel (Université de Bourgogne)

Description

The famous Burau representation of the braid group is known to be unfaithful for braids with at least five strands. In the early 2000s two constructions were provided to fix faithfulness: the first being the Lawrence-Krammer-Bigelow linear representation, hence proving linearity of braid groups, and the second being the Khovanov-Seidel categorical representation. In this talk, based on joint work in progress with Licata, Queffelec and Wagner, I will investigate the interplay between these two representations.

Primary author

Prof. Anne-Laure Thiel (Université de Bourgogne)

Presentation materials

There are no materials yet.