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.