To an arrangement, there corresponds three important Lie algebras: the associated graded Lie algebra of the fundamental group, the Chen Lie algebra, and the holonomy Lie algebra. In this talk we discuss various formulas computing the graded ranks of these Lie algebras in terms of the combinatorics of the arrangement.

Keywords:

Chen Lie algebra; L.C.S. Formula; holonomy Lie algebra; resonance variety; associated graded Lie algebra.

Lecture #10653

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