Median spaces, properties (T) and Haagerup, applications to mapping class groups

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• Cornelia Drutu, University of Oxford
• Thursday 15 October 2009, 16:00-17:00
• Watson Building, Lecture Room A.

If you have a question about this talk, please contact Simon Goodwin.

The median structure is a metric structure generalizing the one of tree. Both Kazhdan’s property (T) and Haagerup’s property can be formulated in terms of actions of groups on median spaces. Moreover, it turns out that every mapping class group of a surface has a natural equivariant asymptotic structure of median space. This allows to study homomorphisms into mapping class groups of surfaces, up to conjugation. The talk is on joint work with I. Chatterji and F. Haglund, and with J. Behrstock and M. Sapir.

This talk is part of the Algebra seminar series.

This talk is included in these lists:

• Algebra seminar
• School of Mathematics events
• Watson Building, Lecture Room A

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