[Binghamton Geometry Topology Seminar] Seminar This Week

[Matthew R Haulmark]

 Hi everyone,

This week our speaker will be Emily Stark from Wesleyan University. Here
are the details.

*Title*: Action Rigidity for Graphs of Manifold Groups


*Abstract*: The relationship between the large-scale geometry of a group
and its algebraic structure can be studied via three notions: a group's
quasi-isometry class, a group's abstract commensurability class, and
geometric actions on proper geodesic metric spaces. A common model geometry
for groups G and G' is a proper geodesic metric space on which G and G' act
geometrically.


A group G is action rigid if every group G' that has a common model
geometry with G is abstractly commensurable to G. For example, a closed
hyperbolic n-manifold group is not action rigid for all n at least three.
In contrast, we prove certain graphs of manifold groups are action rigid.
Consequently, we obtain examples of quasi-isometric groups that do not
virtually have a common model geometry. This is joint work with Alex
Margolis, Sam Shepherd, and Daniel Woodhouse.


Zoom link for the seminar, 2:50 - 3:50:
https://binghamton.zoom.us/j/94057178271

Zoom link for the coffee, 12:30 - 1:30:
https://binghamton.zoom.us/j/96674397432

Best,

Matt
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