Pure Maths Colloquium: L^2 cohomology of Artin groups and hyperplane complements
23 February 2004 16:00 in CM221
" We compute the L^2 cohomology of the so-called `Salvetti complex' for each Artin group. Two surprising facts about this computation are: 1. It can be done at all --- the ordinary cohomology of these spaces is not known in such great generality; 2. The answer is highly non-trivial --- many previous calculations of L^2 cohomology have been of the form `it vanishes in all but one degree'. In work in progress, we use similar techniques to compute the L^2 cohomology of a large class of hyperplane arrangments. "
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