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Center & Programs Conferences Summer School on Algebraic Combinatorics
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An Introduction to Combinatorial Species
SPEAKER  |  Ira Gessel
INSTITUTE  |  Brandeis University, USA
DATE  |  June 14(Tue), 2016
TIME  |  09:30
PLACE  |  1114
Keyword  |  
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ABSTRACT  |  The theory of combinatorial species is a method for counting labeled and unlabeled structures such as graphs of various types. In particular it provides a powerful alternative approach to problems traditionally solve by P?lya theory. I will discuss the basic definitions and examples, and describe the fundamental operations on species. I will also discuss the three fundamental generating functions associated with a species, in particular, the cycle index, which is a symmetric function associated with an action of the symmetric group.
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