First-order logic and acylindrically hyperbolic groups

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• Jonathan Fruchter, Bonn
• Friday 01 March 2024, 13:45-14:45
• MR13.

If you have a question about this talk, please contact Macarena Arenas.

In 1945, Alfred Tarski posed the following question: do all non-abelian free groups have the same first-order theory? It took over 60 years until Sela gave a positive answer to this question, and the path towards this final answer is paved with many interesting (and sometimes lesser-known) results and techniques. In this talk, I will review some of these techniques and results, many of which apply not only to free groups, but also to other classes of groups exhibiting negative curvature. I will then focus on joint work with Simon Andre, in which we utilized some of these techniques in the acylindrically hyperbolic setting.

This talk is part of the Geometric Group Theory (GGT) Seminar series.

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