The Oliver Club - Cornell Universitypi.math.cornell.edu/~oliver/2014/dymarz_oct23.pdf · The Oliver...
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The Oliver Club Thursday, October 23, 2014 at 4:00 PM in 532 Malott Hall www.math.cornell.edu/~oliver/ Refreshments will be served at 3:30 PM in the Mathematics Department lounge (532 Malott Hall). Tullia Dymarz, University of Wisconsin Two Coarse Geometries for Groups Two Coarse Geometries for Groups Finitely generated groups can be made into metric spaces via word metrics. Since word metrics depend on a choice of generating set, the geometry of a group can only be defined up to an equivalence. The two natural choices of equivalences one can use are bilipschitz or quasi-isometric equivalence. We answer the basic question of whether these two equivalences are the same by providing families of counterexamples where they are not.
Transcript of The Oliver Club - Cornell Universitypi.math.cornell.edu/~oliver/2014/dymarz_oct23.pdf · The Oliver...
The Oliver Club
Thursday, October 23, 2014at 4:00 PM in 532 Malott Hall
www.math.corne l l . edu/~ol iver/
Refreshments will be served at 3:30 PM in the Mathematics Department lounge (532 Malott Hall).
Tullia Dymarz, University of Wisconsin
Two Coarse Geometries for GroupsTwo Coarse Geometries for Groups
Finitely generated groups can be made
into metric spaces via word metrics.
Since word metrics depend on a choice
of generating set, the geometry of a
group can only be defined up to an
equivalence. The two natural choices of
equivalences one can use are bilipschitz
or quasi-isometric equivalence. We
answer the basic question of whether
these two equivalences are the same by
providing families of counterexamples
where they are not.
