Mathematical investigations that are ahead of the curve
Euclidean geometry is the study of flat space – the geometry we are all the most familiar with. Its ideas can be explained with drawings on a flat piece of paper. Riemannian Geometry is instead, more generally, the area of mathematics that concerns the study of shapes through the concept of curvature. Its language and methods have proven to be extremely versatile and are employed to describe a large range of natural phenomena, including gravitational forces in the context of Einstein's general relativity. The EU-funded CHANGE project is built around a network of problems in the realms of both basic and applied mathematics, aiming to shed new light on some central questions in the field.
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