22–25 Sept 2025
Palazzo del Castelletto
Europe/Rome timezone

The JSJ decompositions of generalized Baumslag-Solitar groups

24 Sept 2025, 10:00
1h
Aula Dini (Palazzo del Castelletto)

Aula Dini

Palazzo del Castelletto

Via del Castelletto, 17/1, 56126 Pisa PI

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.

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