14h00: Graphs for Quantum Boson problems. By P. Blasiak (Institute of Nuclear Physics, Polish Academy of Sciences, Krakow)

Abstract. Algebraic structure of Quantum Boson systems is considered from the combinatorial point of view. It is shown that by lifting to the richer algebra of graphs, operator calculus gains simple interpretation as the shadow of natural operations on graphs. This provides insights into the algebraic structure of the theory and sheds light on the combinatorial nature hidden behind its formalism. Practical utility of this approach is illustrated on examples resolved by methods of symbolic combinatorics.