Speaker
Dr
Dario Ascari
(University of Basque Country)
Description
The theory of JSJ decomposition plays a key role in the classification of hyperbolic groups, in analogy with the case of 3-manifolds. The same strategy can also be adapted to larger families of groups, but with some obstructions arising, the most natural example being Generalized Baumslag-Solitar groups. We discuss the flexibility of JSJ decomposition for groups within this family, and its implications on the study of the isomorphism problem and of (outer) automorphism groups.