Simon André: First-order theory of free groups and hyperbolic groups

Thursday, 28.10.2021 11:00 im Raum SR 1D

Mathematik und Informatik

I will explain why non-abelian free groups have the same $\forall\exists$-theory, a result first proved by Sacerdote in 1973 using combinatorial group theory, then proved in a more geometrical way by Sela using the theory of groups acting on trees (developed by Rips, Sela and others). I will also discuss some generalisations of this result to larger classes of groups, such as virtually free, hyperbolic or acylindrically hyperbolic groups.

Angelegt am Monday, 25.10.2021 09:59 von pfeifer
Geändert am Monday, 25.10.2021 09:59 von pfeifer
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