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SUMMARY:An analogue of the curve complex for a right-angled Artin group. -
  Henry Wilton\, UCL
DTSTART:20131120T160000Z
DTEND:20131120T170000Z
UID:TALK47078@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:A right-angled Artin group is defined from a finite graph as f
 ollows: the vertices are a generating set\, and two vertices commute if th
 ey are joined by an edge.  Although the definition is naive\, right-angled
  Artin groups turn out to be very useful\, and their automorphism groups a
 re the subject of active research.  I will present an approach to the stud
 y of their outer automorphism groups\, motivated by analogy with mapping c
 lass groups of surfaces.  The complex of curves is an important tool in th
 e study of mapping class groups.  The main feature of this talk will be a 
 definition of analogous objects associated to  the outer automorphism grou
 ps of right-angled Artin groups. This is joint work with Matthew Day.
LOCATION:MR13
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