Apart from their intrinsic geometric interest, moduli spaces are a natural focus for the interplay with a wide range of ideas from physics, topology, and number theory. This workshop will aim to highlight links between the great variety of topics, loosely organized around four themes. During the first week, we will work primarily on symplectic and Poisson geometry, and derived categories and their moduli. The second week will concentrate on algebraic structures, and on matrix models and integrable systems.