  The aim of this paper is to give the text of a recent introduction to
nonlinear generalized functions exposed in my talk in the congress gf2011,
which was asked by several participants. Three representative topics were
presented: two recalls "Nonlinear generalized functions and their connections
with distribution theory", "Examples of applications", and a recent
development: "Locally convex topologies and compactness: a functional analysis
of nonlinear generalized functions".
