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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Introduction to random groups and their properties

Emily CLEMENT
LIPN, Paris 13
https://perso.eleves.ens-rennes.fr/people/emily.clement/

Date(s) : 19/09/2025   iCal
11h00 - 12h00

In the study of random groups, as pioneered by Gromov en 1996, one considers the properties of randomly chosen finitely presented groups <S|R>, generated by generators and cancelling relations. Several models are possible, according to the type of relations or the asymptotic parameters that are chosen.
In our work, we focus on fixed-length relations in particular of triangular ones.
In this talk, we will give an overview of classical tools (Van Kampen Diagram, Cayley Graph…), problems (Word problem) and properties (Hyperbolicity, Freeness…) of random groups. We will also present our published and current results about Serre Properties FA and Hyperbolicity.

Emplacement
Saint-Charles - FRUMAM (2ème étage)

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