The aim of this conference is to look closely at various generalizations of Gromov hyperbolicity that are currently of significant interest. We particularly want to compare the different definitions, and put them into conversation with one another. Examples include: acylindrical hyperbolicity, hierarchical hyperbolicity, coarse median structures (in the sense of Bowditch), (bi)automatic groups, semi-hyperbolic groups, and asymptotically CAT(0) groups. Various generalizations of the idea of Gromov boundary are also relevant (contracting, Morse, and HHS boundaries, etc). Certain classes of examples are also of special interest: mapping class groups, Out(F_n), RAAGs.
