School of Mathematics Colloquium

Local Non-Archimedean Dynamical Systems in Two Variables

by Prof. Adrian Jenkins (Iowa State University, USA)

Thursday, March 15, 2012 from to (Asia/Kolkata)
at Colaba Campus ( AG-69 )
Description
In joint work with Steven Spallone, we consider locally-convergent
analytic mappings over K^{2}, where K is a non-archimedean field. 
Our goal is to construct conjugations to polynomial normal forms. In
particular, our focus is on so-called `Semi-hyperbolic' dynamical systems. 
We give a full formal and analytic classification, building off earlier formal 
work in the complex plane, and analytic work in the one-dimensional 
non-archimedean case. The results are in stark contrast to the complex 
case.