A simple proof of a generalization of a Theorem by C.L. Siegel

Series
Dynamical Systems Working Seminar
Time
Friday, September 21, 2018 - 3:05pm for 1 hour (actually 50 minutes)
Location
Skiles 156
Speaker
Adrian P. Bustamante – Georgia Tech
Organizer
Adrian Perez Bustamante
In this talk I will present a proof of a generalization of a theorem by Siegel, about the existence of an analytic conjugation between an analytic map, $f(z)=\Lambda z +\hat{f}(z)$, and a linear map, $\Lambda z$, in $\mathbb{C}^n$. This proof illustrates a standar technique used to deal with small divisors problems. I will be following the work of E. Zehnder.