Analytic capacity of sets with plenty of big projections

Michele Villa, University of Oulu
Fine Hall 314

An old question, dating back to the sixties and attributed to Vitushkin, asks if, for a compact subset of the plane, analytic capacity is bounded below by Favard length. In this talk, I will describe work with D. Dabrowski where we make some progress on this question, at least in the specific case of sets with plenty of big projections.