For more information about this meeting, contact Dmitri Burago.
| Title: | Lacunary hyperbolic groups |
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| Seminar: | Center for Dynamics and Geometry Seminar |
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| Speaker: | Mark Sapir, Vanderbilt |
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| Abstract: |
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| A group is called lacunary hyperbolic if one of its
asymptotic cones is a tree. A finitely presented lacunary hyperbolic
group is hyperbolic by a "Cartan-hadamard" statement (proved by Gromov
with details provided by Kapovich and Kleiner), but infinitely
presented lacunary hyperbolic groups can be elementary amenable and
Tarski monsters (all proper subgroups cyclic), etc. We use lacunary
hyperbolic groups to answer several questions of Gromov, Kleiner and
others. This is a joint work with A. Olshanskii and D. Osin. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 10 / 13 / 2010 |
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| Time: | 03:35pm - 05:05pm |
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