In the first talk we will describe the notions of tangencies (homoclinic
and heterodimensional), codimension, and blenders. We will explain how to construct the tangencies
in a robust manner using blenders but for the dynamics induced in the tangent bundle.
The second talk will put the above objects in the context of parametric families and non-generic unfoldings.
That is, tangencies that unfold ''slowly'' with respect to the parameter. We will discuss how it is possible
to make these unfoldings robust using again the mechanism of blenders.