The Stony Brook convention, 'Graphs and styles in arithmetic and Theoretical Physics', used to be devoted to Dennis Sullivan in honor of his 60th birthday. The event's clinical content material, which was once advised through Sullivan, used to be principally in accordance with mini-courses and survey lectures. the most proposal was once to aid researchers and graduate scholars in arithmetic and theoretical physics who come across graphs of their study to beat conceptual obstacles. the gathering starts off with Sullivan's paper, 'Sigma versions and string topology', which describes a heritage algebraic constitution for the sigma version in line with algebraic topology and transversality. different contributions to the amount have been equipped into 5 sections: Feynman Diagrams, Algebraic buildings, Manifolds: Invariants and replicate Symmetry, Combinatorial points of Dynamics, and Physics.These sections, besides extra research-oriented articles, comprise the next surveys: 'Feynman diagrams for pedestrians and mathematicians' via M. Polyak, 'Notes on common algebra' by means of A. Voronov, 'Unimodal maps and hierarchical versions' by way of M. Yampolsky, and 'Quantum geometry in motion: titanic bang and black holes' by means of A. Ashtekar. This entire quantity is appropriate for graduate scholars and study mathematicians attracted to graph idea and its purposes in arithmetic and physics.

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