Automorphisms of Groups and Higher Rank JSJ Decomposition

Explore a 53-minute lecture on automorphisms of groups and a higher rank JSJ decomposition, presented by Zlil Sela at the Centre de recherches mathématiques (CRM). Delve into the generalization of the JSJ decomposition structure and construction, examining its application to colorable hierarchically hyperbolic groups with weak acylindricity conditions. Discover how this higher rank JSJ decomposition encodes information about the algebraic structure of the automorphism group and the dynamics of individual automorphisms, similar to the JSJ decomposition of hyperbolic groups. Learn how this approach extends beyond encoding only splittings in finitely presented groups to provide insights into automorphisms and virtually cyclic splittings of hyperbolic groups. Gain valuable knowledge from this presentation, which was part of the Workshop on Groups around 3-Manifolds held in June 2023.