First-order theory and acylindrical hyperbolicity

01.12.2020 15:00 - 17:00

Simon Andre (Vanderbilt)

The first-order theory of a group G is the set of first-order sentences that are satisfied by G. I will discuss the following question: if G has a geometrical property, such as hyperbolicity or acylindrical hyperbolicity, and if a group G' has the same first-order theory as G, is the group G' (acylindrically) hyperbolic as well? In other words, is the geometry of G encoded into its first-order theory?

G. Arzhantseva, A. Evetts
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