This program will take stock of recent advances in Nonsmooth Dynamics and where the field is going. As a general theory of how switches, impacts, and other discontinuities affect dynamical systems, Nonsmooth Dynamics has always been strongly informed by applications. By bringing theoretical and practical insights together at a time of rapidly growing interest, we will try to solve some major outstanding problems in an intensive but open forum. Activities to be held in the Research Programme are: Conference on 'Open Problems in Nonsmooth Dynamics;' February 1-5, 2016, 3 short courses on 1. Nonsmooth networks 2. The complementarity approach applied 3. The Filippov approach and beyond; February 29-March 4, 2016; Workshop on 'Nonsmooth Dynamics, the way forward' April 25-29, 2016.