11/10/2007, 14:15 — 15:15 — Sala P3.10, Pavilhão de Matemática Sean Lawton, CAMGSD
Minimal Affine Coordinates for SL(3,C) Character Varieties of Free Groups
Let X be the moduli of SL(3,C) representations of a free group; that is the character variety. We determine minimal generators of the coordinate ring of X for any rank free group. This at once gives explicit global coordinates for X and determines the dimension of the moduli's minimal affine embedding. In this talk we present the minimal generators and discuss the constructive methods employed to establish the minimal generating set.
