I will talk about some results obtained in a joint work with Marianna Csornyei (Chicago) and Bernd Kirchheim (Leipzig), focusing on two properties of Sobolev maps: Sard theorem (what can be said about the dimension of the set of critical values?) and Lusin property (for which dimensions d a Sobolev map takes d-null sets into d-null sets, where d-null means negligible with respect to the d-dimensional Hausdorff measure?). This work is still in progress, and some results are partial.http://cvgmt.sns.it/seminar/292/
