[Colloquium] Jang Soo Kim, Combinatorics of orthogonal polynomials

Combinatorics of orthogonal polynomials
Jang Soo Kim (김장수)
Department of Mathematics, Sungkyunkwan University, Suwon
2015/4/9 Thu 4:30PM-5:30PM (E6, Room 1501)
Orthogonal polynomials are a family of polynomials which are orthogonal with respect to certain inner product. The n-th moment of orthogonal polynomials is an important quantity, which is given as an integral. In 1983 Viennot found a combinatorial expression for moments using lattice paths. In this talk we will compute the moments of several important orthogonal polynomials using Viennot’s theory. We will also see their connections with continued fractions, matchings, set partitions, and permutations.

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