|
СЕМИНАРЫ |
Семинар Добрушинской математической лаборатории ИППИ РАН
|
|||
|
Rooted Tree Graphs and Transformation Groups W. G. Faris University of Arizona, Department of Mathematics |
|||
Аннотация: 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. |