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.