Construction of whiskered invariant tori for fibered holomorphic dynamics II

Dynamical Systems Working Seminar
Thursday, October 29, 2015 - 5:00pm
1 hour (actually 50 minutes)
Skiles 006
Georgia Tech (Math)
We consider fibered holomorphic dynamics, generated by a skew product over an irrational translation of the torus. The invariant object that organizes the dynamics is an invariant torus. Often one can find an  approximately invariant torus K_0, and we construct an invariant torus,  starting from K_0. The main technique is a KAM iteration in a-posteriori format. In this talk we give the details of the iterative procedure using the geometric and number-theoretic conditions presented last time.