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On homomorphisms of groups into the Mapping class groups

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Mark Sapir
Vanderbilt U/MPI
Mon, 2010-07-26 15:00 - 16:00
MPIM Lecture Hall
Parent event: 
Topics in Topology

This is a joint work with J. Behrstock and C. Drutu. We show that if a group G has infinitely many pairwise non-conjugate homomorphisms into a mapping class group of a surface, then G has a finite index subgroup (the index depends on the surface only) that acts non-trivially on a real tree. If G is finitely presented, then the real tree can be replaced by a simplicial tree.

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