# Lipschitz Geometry of Singularities (18w5011)

## Organizers

(Aix Marseille University)

(Columbia University)

"Singularities'' are points in a geometric region which are different from most nearby points in the region. They are points of particular interest, arising in many areas of science such as biology, chemistry, physics and social science. They also lead to applications in technological domains, for example in robotics, control theory, optic, medical imaging, etc. Their study uses many mathematical tools. One of these tools is what is called bi-Lipschitz geometry'', which permits alteration of a geometric object by applying limited local stretching and shrinking. For example, a bi-Lipschitz change to the geometry of a knife preserves the sharpness of the knife, but may turn a dinner knife into a butter knife.