15/07/2008, 15:00 — 16:00 — Sala P3.10, Pavilhão de Matemática Sean Lawton, CAMGSD,IST
Algebraic Independence in -Character Varieties of Free Groups
The representations from a free group into are an affine variety. The ring of invariants of the conjugation action is generated by traces of words in generic matrices. We have described minimal sets of these generators; providing global coordinates for the moduli of representations. In this talk, we describe maximal algebraically independent subsets of the minimal generators. In contrast, these sets should be thought of as local parameters for the moduli.
