Tropical Geometry, Berkovich Spaces, Arithmetic D-modules and p-adic local systems

The theory of Berkovich spaces is a powerful and elegant approach to analytic geometry over non-archimedean fields. Over the past decade it has found many striking applications in areas such as arithmetic geometry, p-adic differential equations, and dynamics. Running through many of these recent developments is the thread of tropical geometry. In some cases the tropical link is already firmly established, while in others it is not yet more than a promising hint. There is now an exciting potential to forefront the role of tropical geometry while exploring the application of Berkovich theory in the intersecting areas of arithmetic D-modules and non- archimedean representation theories.  This conference will bring together leading experts in each of these areas in order to energize this vision and establish appropriate links.