"Homotopical normal maps"
In this talk I'll try to introduce notions involved in my work. The main idea of the talk will be trying to translate the notion of a normal subgroup into the homotopical world, invariant under homotopy equivalence. This is done via converting (topological) groups into loop spaces, short exact sequences to fibrations and quotients to homotopy quotients. Most of the time will be devoted to explain these notions and, if time permit, I will state my result on the matter.