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# The geometry of hyperbolic groups and their fixed point properties

## Geometry of mapping class groups and Out(Fn) October 25, 2016 - October 28, 2016

October 28, 2016 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Cornelia Drutu (University of Oxford)
Location: MSRI: Simons Auditorium
Tags/Keywords
• geometric group theory

• hyperbolic groups

• random groups

• fixed point properties

• Boundary

• property (T)

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

#### 14636

Abstract
In this talk I shall overview various fixed point properties and their occurence in the classes of hyperbolic groups, and of higher rank lattices. I shall then present the existing evidence, in the setting of random groups, in support of a connection between the geometry of the boundary of a hyperbolic group and the fixed point properties that the group has. This is joint work with John Mackay.
Supplements