Description

Title: A tale of two groups - mapping class group and outer automorphism group of free group

Abstract: In this talk I will define two key groups studied in geometric
group theory - the mapping class group of a surface and the outer
automorphism group of a free group. I will discuss how the theory of
mapping class groups has motivated and guided the study of Out(F_n). Both groups act on certain hyperbolic simplicial complexes. For mapping class group these actions yield useful information about the group such as homological stability, finite asymptotic dimension, quasi-isometric rigidity. I will define some of these hyperbolic complexes and classifythe group elements that act with positive translation length.

Date

Fri, January 20, 2017

Start Time

10:00am-11:00am IST

Duration

1 hour

Priority

5-Medium

Access

Public

Created by

DEFAULT ADMINISTRATOR

Updated

Thu, January 19, 2017 5:25pm IST