Carissimi,

vi giro questo annuncio di seminario che per un qualche motivo non e' stato inserito nel notiziario.

Ciao, Marco

Xavier Buff (Institut de Mathématiques de Toulouse)

22 aprile, ore 14:30 Sala Seminari del Dipartimento di Matematica

"Bottcher coordinates in several complex variables"

### Abstract ### Let F be a holomorphic self-map of C^n fixing the origin and satisfying F(x) = H(x) + o(||x||^k) for some homogeneous map H of degree k>1. When n=1 Bottcher theorem says that F is locally holomorphically conjugated to H; when n>1 this is not anymore true. In this talk we give necessary and sufficient conditions valid in any dimension for F to be locally holomorphically conjugated to H, that si for the existence of a local isomorphism Phi such that Phi o F = H o Phi.