Séminaire de Géométrie Algébrique de Rennes - Exposé du 19 mai 2005


Graham ELLIS (Galway)


Titre : The K(π,1) conjecture for Artin groups

Résumé :

The conjecture asserts the contractibility of a certain cellular space associated to any generalised braid group. The space can be used to compute the cohomology ring of the group in those cases where the conjecture is known to hold. This talk will explain how Gromov's link condition for non-positive curvature can be used to prove the conjecture in some new cases.