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When I started giving talks on regularity theory for degenerate and sin- lar parabolic equations, a ?xed-point in the conversation during the co?- break that usually followed the seminar was the apparent contrast between the beauty of the subject and its technical di?culty. I could not agree more on the beauty part but, most of the times, overwhelmingly failed to convince my audience that the technicalities were not all that hard to follow. As in many other instances, it was the fact that the results in the literature were eventually stated and proved in their most possible generality that...

These proceedings discuss the quantal system with many particles mainly from the theoretical point of view. The topics discussed include the relativistic nuclear many-body problem, perspective in hadron structure, mean-field and semiclassical methods, thermal theories, symmetries and group theoretical methods, and density functional theories.