Topology & Geometric Group Theory Seminar

Fall 2007

1:30 - 2:30, Malott 253

Tuesday, September 25

Brad Forrest, Cornell University

Degree subcomplexes of Auter space

Auter space, a cousin of Culler and Vogtmann's Outer space, was introduced by Hatcher and Vogtmann in 1998. In this introduction, they defined the degree subcomplexes of Auter space, which act like skeleta for Auter space. In this talk I will present several applications of the degree subcomplexes. Among these applications is a new presentation for Aut(Fn) which is joint work with Heather Armstrong and Karen Vogtmann. Also, I will discuss open problems that could potentially utilize the degree subcomplexes, including determining the Dehn function of Aut(Fn).

In the spirit of minimizing pre-requisites, I will present definitions for both Auter space and the degree subcomplexes of Auter space.

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