The Salvetti complex and the l2-cohomology of
Artin groups
Abstract
To any Artin group A
one can assciate a certain finite cell complex
XA called its ``Salvetti complex''. Conjecturally,
XA is an
Eilenberg-MacLane space for A. This conjecture is known to hold in
many cases. I will describe the Salvetti complex and discuss the
conjecture. Finally, I will discuss a simple formula, due to Ian Leary and me,
which computes the reduced l2-cohomology of the universal cover of
XA.
R E F R E S H M E N T S
4:00 To 4:25 PM
Kenneth W. Anderson
Memorial Reading Room
