Model theoretic aspects of hyperbolic groups

Rizos Sklinos

Ancien Post-doctorant MILYON – Université Claude Bernard Lyon 1 – ICJ

→ du 14/10/2014 au 13/10/2016

Abstract: My research lies on the intersection of model theory with geometric group theory. The interaction between the two disciplines was mostly initiated by the profound work of Z. Sela answering on the affirmative the long standing question of Tarksi, i.e. « Do all non-Abelian free groups share the same common first order theory? » In this poster I present recent progress on the understanding of this common theory as well as open questions that concern applications of model theory to geometric group theory.

Keywords: torsion-free hyperbolic groups, stability

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