Nima Hoda

ENS Paris

Strongly shortcut spaces

Geometry and Topology Seminar

15th December 2020, 2:00 pm – 3:00 pm
Zoom seminar, if interested, please email one of the organisers to gain access to the Zoom link

The strong shortcut property was introduced in my PhD thesis as
a very general nonpositive curvature condition for graphs.
Despite unifying many important classes of graphs in geometric
group theory and metric graph theory, strongly shortcut graphs
have strong algebraic consequences for groups that act on them
properly and cocompactly, including finite presentedness and
polynomial isoperimetric (Dehn) function.

In recent work I have generalized the strong shortcut condition
to rough geodesic metric spaces. In this talk I will define
strongly shortcut metric spaces, describe various
characterizations and properties of them and relate them to
strongly shortcut groups. Using these results, I will show that
new families of groups act properly and cocompactly on strongly
shortcut graphs.

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