Topology of complex reflection arrangements

David Bessis (Paris)

A classical theorem of Deligne implies that, if W is a finite real reflection group, the complement of the complexified hyperplane arrangement is a K(π,1) space. I will explain a new proof of this result, using new geometric objects related to the dual braid monoid corresponding to W. This new proof also applies to certain complex reflection groups for which the K(π,1) property was still conjectural.

See the paper on which the talk is based.

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