Dynamical Systems Seminar
Friday February 3rd, 2023
Time: 2:30 PM
Title: On KAM-rigidity of affine $Z^k$-actions on the torus.
Speaker: Bassam Fayad, University of Maryland
Location: Math P-131
Abstract:
In which ways can one perturb the action on the torus of a commuting pair of affine automorphisms?

It is a general knowledge today that higher rank actions tend to be locally rigid while $Z$ actions are usually not locally rigid. The aim of the talk is to address the general classification of $Z^k$-actions on the torus by affine automorphisms in terms of local rigidity.

The talk will be based on a joint work with D. Damjanovic and M. Saprykina.