Geometry and Differential Topology. Algorithmic Geometry

The aim of this course is to provide participants with an introduction to and an overview to differential topology, differential geometry and computational geometry. We will give them the background required to begin research in these fields or at their interfaces.
The lecturers will also introduce new research domains, old and new conjectures in these different subjects. It will be shown some interactions between other sciences close to mathematics. Moreover, this School will give the opportunity to each participant to give a talk on his own research activities or project of research related to scientific topics connected to geometry and topology.