Dynamics of homomorphic self-maps near a fixed point
Time and place
1 PM on Thursday, February 14th, 2013; NAC 6/113
Liz Vivas (Purdue University)
Abstract
The local dynamics of holomorphic self-maps of Cn around a fixed point has been an object of study since the time of Schroder, Fatou and Julia. In this talk we will explain the results known for n = 1 and the partial known results for n > 1. We will focus in the case n = 2 and of maps tangents to the identity, that is, when the derivative of our self-map at the fixed point is the Identity. In this case the usual tools of linearization introduced by Poincaré are not possible to use and some new techniques are required.
