Non-linear Computational Geometry

The motivation of this school is to initiate new interests or vocations in this field, where fundamental mathematical topics and algorithmic issues can be combined to solve practical geometric problems that appear in many applications. The potential of research developments in this domain is important, both from a theoretical, an algorithmic or an applicative point of view. A good background both in mathematics and computer science is a main asset for these investigations.

Geometric modeling plays an increasing role in a wide range of domains: computer aided geometric design, geographic information systems, architecture, molecular biology, physical simulations, ...

The increasing demand for compact and powerful representations of shapes, for advanced techniques in geometric analysis or for efficient tools in geometric computation lead to the rapid and recent development of Non-linear Computational Geometry.

The objective of the school is to provide an initiation to non-linear computational geometry, and to related domains such as effective algebraic geometry and real semi-algebraic set theory.