Singularities of Curves in Geometry

This lecture covers the concept of singularities in curves, exploring different cases such as inflection points, points of reversal, and their implications on the Frenet frame. It also delves into the evolution of torsion along curves, highlighting the differences between cases of torsion in the same direction and in opposite directions. The lecture further discusses the combinatorial aspects of curve configurations and their spatial representations, providing insights into the geometric properties of curves in different planes.