Title: Some results on the dynamics of a polymer with
adsorption and repulsion.

Abstract: We present some recent results on the decay
to equilibrium of a Glauber dynamics for a pinning model.
A dynamical phase transition is illustrated
through various bounds on the mixing time of the process.
Some open problems are also discussed.
This is work in collaboration with Fabio Martinelli and Fabio Lucio
Toninelli.