Seminar series
Date
Wed, 11 Mar 2026
Time
16:00 -
17:00
Location
L6
Speaker
Pénélope Azuelos
Organisation
University of Bristol
Various coarse and fine notions of non-positive curvature have proven extremely useful to the study of infinite finitely generated groups. One recurring feature of spaces with these properties is that the behaviour of abelian subgroups of their isometry groups is often highly restricted, via results known as flat torus theorems. One notion of coarse non-positive curvature which has proven to be very useful is hierarchical hyperbolicity. Spaces with this property include Gromov-hyperbolic groups, mapping class groups and compact special groups. I will discuss a new flat torus theorem in this setting and compare it to the classical result for CAT(0) spaces. This talk is based on joint work with Mark Hagen.