This is the second of two talks on Mochizuki's paper "The local pro-p anabelian geometry of curves", in which he proves Grothendieck's Anabelian Conjecture for hyperbolic curves over p-adic fields. His main tool is p-adic Hodge theory. In this second talk, I would like to focus on one particular step of the proof, which establishes a weak form of the so called "Section Conjecture". The point is that one can endow the Malcev completion of the fundamental group with various Hodge-Tate structures.