The workshop aims to present a panorama of the mathematical research developed in the last years at the "Centro di Ricerca Matematica E. De Giorgi" or in strict connection with it. The topics range from analysis to geometry to mathematical physics. Connections between the various fields and discussions of current trends and open problems are favoured. Researchers that held long-term post-doc positions at CRM and some senior lecturers will be the speakers. The town of Lizzanello has been selected as venue for its continuous support to the CRM.