On acylindricity of outer automorphism group of non-solvable Baumlag-Solitar groups

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• Bratati Som, University at Buffalo
• Thursday 06 June 2024, 16:00-17:00
• MR14.

If you have a question about this talk, please contact Alexis Marchand.

Note unusual time & venue

A group G is called acylindrically hyperbolic if it admits a non-elementary acylindrical action on a hyperbolic space. It includes many examples of interest, e.g., non-elementary hyperbolic and relatively hyperbolic groups, all but finitely many mapping class groups of punctured closed surfaces, most 3-manifold groups and Out(F_n) for n>1. In this talk we will see when Out(BS(p,q)) is acylindrically hyperbolic for non-solvable Baumslag-Solaitar groups and explore further properties of the group using its acylindricity. This adds new examples to the class of acylindrically hyperbolic groups where a group G is not acylindrically hyperbolic but Out(G) is. This talk is based on a joint work with Daxun Wang.

This talk is part of the Junior Geometry Seminar series.

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