An important aspect of geometric group theory concerns classifying groups
and metric spaces up to quasi-isometry (that is coarse geometric equivalence).
A related aspect is describing self-quasi-isometries. A recent result of Behrstock, Kleiner, Minksy and Mosher shows that the mapping class group of most compact surfaces are quasi-isometrically rigid: that is, any quasi-isometry is induced up to bounded distance by a homeomorphism of the surface. We describe how this and related results can be viewed in terms of a coarse median structure, (an idea inspired by work of Behrstock and Minsky). We obtain some variations and generalisations of this result.
Rigidity properties of mapping class groups and related spaces
Date
2014/07/01 Tue 15:00 - 16:30
Room
6号館609号室
Speaker
Brian Bowditch
Affiliation
University of Warwick 東工大
Abstract