Various model-theoretic tools, in particular sharpenings of the Trichotomy Principle, have been used in recent years with great success in algebraic dynamics, e.g. in connection with descent issues and the study of invariant subvarieties. Similar connections exist in the study of classical differential and difference equations, such as Painlevé equations (and its q-variants) and the differential equations satisfied by relevant analytic functions: the exponential function or the j-invariant, among others. These development relate to questions in diophantine geometry and transcendence theory.

The aim of the meeting is to present some of the major recent developments in these areas. Furthermore, we seek to bring together model-theorists and researchers in other fields of mathematics, from differential algebraic geometry to algebraic dynamics, as well as difference/differential Galois theory and arithmetic geometry.