Contemporary Geometry

Purpose of the school is to bring together some research top- ics in geometry together with their interconnections, in particular:
• sub-Riemannian geometry;
• Poisson geometry;

• hyperbolic geometry;
• probabilistic algebraic geometry;
• differential geometry.
The scientific program is divided into
• 5 courses of 5 lectures each, plus 8 sessions of exercises;
• 4 research seminars;
• 6 sessions in which the students will present their research.
The idea is to keep the level of the courses quite “introductory”, however, on topics that are subject of current research.
While the school is concerned with pure geometry, it will remain highly connected to applications: for example, sub-Riemannian geometry is applied in robotics, in neurophysiology and in medical imaging, or, the approach of probabilistic algebraic geometry promises connections with physics, biology and social science.
Although the courses are intended to give a panorama of different subjects in geometry, nonetheless they are interconnected.

Official language of the school: English