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Formal Power Series

Student-Run Research Seminar

Speaker: Gus Wiseman, UC Davis
Location: 2112 MSB
Start time: Wed, Oct 18 2006, 12:10PM

Abstract: Exponential formal power series are useful in many situations involving enumeration of structures on finite sets. Two particularly elegant examples of this usage are Joyal's proof of Cayley's formula for counting trees, and Rota's functional, which elucidates some classical identities involving Bell numbers. In this introductory talk I will present these examples and discuss some theoretical aspects of the method.