Hierarchical hyperbolicity of graphs associated to surfaces

Jeudi 14 février 14:00-15:00 - Kate Vokes - IHES

Résumé : In the study of mapping class groups of surfaces, an important tool is the action of the mapping class group on various infinite diameter graphs associated to the surface. A key example of such a graph is the curve graph, shown by Masur and Minsky to be Gromov hyperbolic. Further work of Masur and Minsky described properties of the large scale geometry of mapping class groups in terms of projections to curve graphs of subsurfaces, later inspiring the definition by Behrstock, Hagen and Sisto of hierarchically hyperbolic spaces, which have an analogous structure. I will give some background on these concepts and present a result showing that many graphs whose vertices represent multicurves in a surface are hierarchically hyperbolic.

Lieu : Salle 2L8 (IMO, bâtiment 307)

Notes de dernières minutes : Le café culturel sera assuré à 13h par Camille Horbez.

Hierarchical hyperbolicity of graphs associated to surfaces  Version PDF