A walk in the world of perverse sheaves - lecture 3

During the third part of the walk, I discuss applications of perverse sheaves. According to the time (and the weather), I take participants through the valleys of de Rham theorem, decomposition theorem, Morse theory, Lefschetz theorems, nearby and vanishing cycles (cf Lectures by David Massey the following week).Minicourse presented by Jean-Paul Brasselet (Institut de Mathématiques de Marseille I2M - CNRS and Aix-Marseille University) at the 13th International Workshop on Real and Complex Singularities, July 27th - August 1st 2014. Aim of the course is to "demystify" the objects called "perverse sheaves", to show their usefulness and (some of) their applications.