Titlebook: Configuration Spaces; Geometry, Combinator A. Bjorner,F. Cohen,M. Salvetti Conference proceedings 2012 Scuola Normale Superiore Pisa 2012 a

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Pure braid groups are not residually free,We show that the Artin pure braid group .. is not residually free for . ≥ 4. Our results also show that the corank of .. is equal to 2 for . ≥ 3.

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Cohomology of the complement to an elliptic arrangement,We consider the complement to an arrangement of hyperplanes in a cartesian power of an elliptic curve and describe its cohomology with coefficients in a nontrivial rank one local system.