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## Outer Space for Right-Angled Artin Groups

### Ruth Charney

Brandeis University

###
Thursday, October 27, 2005

L01 Carson Hall, 4 pm

Tea 3:30 pm, Math Lounge

**Abstract: ** In geometric group theory one studies groups by
looking at their actions on topological spaces. Some particularly
interesting examples of groups arise as automorphism groups of some
other group *G*. We discuss how to construct a topological space
("outer space") on which an automorphism group, Aut(*G*), acts. In
the case of *G= Z^n* or *G=F_n* (the free group on *n*
generators), these spaces are well known. Right-angled Artin groups
may be said to interpolate between free groups and free abelain
groups, and have become increasingly important in recent years. We
ask what "outer space" should look like for this more general class
of groups. This is joint work with John Crisp and Karen Vogtmann.

This talk will be accessible to graduate students.