Relatively hyperbolic groups: geometry and quasi-isometric invariance
Cornelia Drutu



The topic of the talk is quasi-isometry invariance of relative hyperbolicity (with and without preservation of classes of quasi-isometry of peripheral groups).

Important ingredients in the proofs of such results are some simplified definitions of (strong) relative hyperbolicity in terms of the geometry of a Cayley graph. In particular one definition is very similar to the one of hyperbolicity, as it relies on the existence for every quasi-geodesic triangle of a central left coset of peripheral subgroup.

Some of the results presented are from joint work with M. Sapir, and with J. Behrstock and L. Mosher.



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