In the last year we continued to work on various aspects of statistical physics, high energy and condensed matter physics. We kept sharing common interests in the study of unusual and exotic phases of matter, and the related phase transitions. Our Iniziativa Specifica (IS) offers a natural ground for discussions of these phenomena. Before entering into the details of the scientific achievements of the last year, let us highlight how cross-fertilization plays a central role in quantum field theory and critical phenomena by using some examples (out of many more) from our work. First, consider the crucial issue of the nature of the thermal transition in QCD (Pisa and Roma with RG, Torino within effective string models, LNF numerically). This is, in turn, deeply entangled with the fate of the chiral anomaly at the transition (Pisa), and it is ultimately related with the behaviour of systems at high density (Milano and LNF). As a second example, consider the recent developments in four dimensional conformal field theories (LNF), with their potential applications to physics beyond the standard model, where the expertise gained in lower dimensionalities and integrable models is crucial (Torino, Pisa, Roma). Finally, condensation phenomena were for many years a typical condensed matter subject, but are now playing a central role also in high energy physics, in the dense phases of matter which are relevant for neutron stars (Milano and Pisa), and other branches of theoretical physics.