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Dobrushin Mathematics Laboratory Seminar
December 17, 2013 16:00, Moscow, room 307, IITP RAS (Bolshoy Karetniy per., 19)
 


Rooted Tree Graphs and Transformation Groups

W. G. Faris

University of Arizona, Department of Mathematics

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Abstract: Series solutions of ordinary differential equations are indexed by rooted tree graphs. It was discovered by Butcher that there is an infinite-dimensional transformation group associated with rooted tree graphs. His discovery was in the context of numerical analysis of ordinary differential equations, but the same group emerges in the Connes-Kreimer approach to renormalization in quantum field theory. This talk will explore the combinatorial background to this subject.

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