Interval exchange transformations, translation surfaces, quadratic differentials and Teichmüller geodesic flow are interconnected subjects linked with smooth dynamics, homogeneous spaces and algebraic geometry. Dynamicists have studied interval exchanges and translation surfaces since the 60's as a source of examples and to understand related phenomena like billiards in polygons and $C \infty$ flows on surfaces. From work of Masur and Veech it became fundamentally connected with Teichmüller theory and it has subsequently interacted with smooth dynamics, homogeneous dynamics and algebraic geometry. This workshop will focus on these connections, the classification of SL (2; \mathbb{R} orbit closures, and the dynamics of translation surfaces and interval exchange transformations.