Stefano Marmi (SNS Pisa):
Small divisors and interval exchange maps.
Abstract: I will review results concerning the dynamics of (generalized) interval exchange
maps obtained by Moussa, Yoccoz and myself. I will explain what part of the theory
of circle diffeomorphisms extends to interval exchange maps and how does one
generalize the notion of rotation number and the diophantine condition needed to
solve the cohomological equation and to prove a linearization theorem.