Chen ranks and resonance

Dan Cohen (Louisiana State University)

Friday 29th June, 2012 15:00-16:00 204


The Chen groups of a group G are the lower central series quotients of G/G'', where G'' is the second commutator subgroup. In the case where G is the fundamental group of the complement of a hyperplane arrangement, we relate the ranks of the Chen groups of G to the first resonance variety, an invariant of the cohomology ring of G.

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