Sep 20 – 22, 2023
Le Bois-Marie
Europe/Paris timezone

Separating actions from angles

Sep 22, 2023, 12:10 PM
50m
Centre de conférences Marilyn et James Simons (Le Bois-Marie)

Centre de conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette

Speaker

Prof. Alain Chenciner (IMCCE/Observatoire de Paris)

Description

One of the simplest problems of normalization concerns analytic local diffeomorphisms of the plane in the neighborhood of a weakly attracting elliptic fixed point at which the derivative is a non-periodic rotation. Defining "geometric normalization" as an analytic local change of coordinates that transforms the local diffeomorphism into one leaving invariant the foliation by circles centered at the fixed point, I shall describe works with David Sauzin, Shanzhong Sun, and Qiaoling Wei which address the existence of normalizations and geometric normalizations.

Presentation materials