- Series
- Dynamical Systems Working Seminar
- Time
- Tuesday, October 6, 2015 - 5:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Mikel de Viana – Georgia Tech
- Organizer
- Mikel Viana
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. The asymptotic properties of the derivative cocycle A_K play a crucial role: In this first talk we will find suitable geometric and number-theoretic conditions for A_K. Later, we will see how to relax these conditions.