Theoretical and computational aspects of applied mathematical research on coherent structures are relevant to subjects as diverse as ecology, chemistry,
material sciences, sociology, pattern forming systems, and neurosciences, where remarkable agreement between theory and experiments can be claimed in many of these ﬁelds.
The aim of this one-day workshop is to present an overview of some of the techniques,
such as spatial dynamics, normal forms, geometric singular perturbation theory and numerical continuation, developed in the study of coherent structures in reaction-diffusion
equations, neural ﬁeld equations, and the prototypal Swift-Hohenberg equation. The program will consist of tutorial presentations and research talks on subjects
ranging from mathematical and computational analysis to concrete applications.