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H. Pottmann:
"Discretization and optimization in applied geometry";
Talk: Fall School: Discrete Geometry and Topology, TU Graz (invited); 2016-10-03.

This course presents tools from discrete and computational differential geometry and shows how to use them within appropriate optimization strategies to solve a variety of problems in Applied Geometry. The applications in particular include digital fabrication and freeform architecture. We discuss the modeling of polyhedral meshes and developable surfaces, due to their importance in various fabrication technologies, and we study how practical requirements in the construction of architectural freeform structures motivate the development of new concepts in discrete differential geometry and how geometry is providing important support in the realization of challenging projects in contemporary architecture.