Curves and Networks in Geometric Analysis
Partially supported by GNAMPA-INdAM, Università di Verona, Dipartimento di Informatica and Università di Pisa
26 June 2017 - 30 June 2017Aims
Optimization and evolution problems involving systems of curves and surfaces, and more generally networks or branched structures are ubiquitous: they arise in a variety of contexts, embracing classical geometric problems such as mean curvature flow, Plateau problem and Steiner tree problem, as well as more general geometric evolution problems of physical interest and optimal (branched) transportation models in economics, biology, image processing and data analysis. Such kind of problems have attracted a lot of attention in recent years, and several sophisticated tools from geometric analysis, partial differential equations and geometric measure thery have been developed to handle, theoretically and numerically, suitable weak notions of solutions and analyse the presence or the formation of singularities within the models under investigation. Aim of this workshop is to bring together senior experts in the geometric analysis of curves, surface and networks with young researchers interested to share state-of-the-art techniques and different perspectives and point of views in this research field.