Stirling Numbers and the Normal Order Problem

David Galvin

University of Notre Dame


Date: Wednesday, February 2, 2022
Time: 4:00 pm - 5:00 pm
Location: Zoom

The Stirling numbers of the second kind, introduced in 1730, arise in many contexts—combinatorial, analytic, algebraic, probabilist… I’ll introduce these versatile numbers and describe some of their interpretations and applications. The standard combinatorial interpretation of the Stirling numbers involves set partitions, and this interpretation has a natural generalization to graphs. I’ll discuss an application of this generalization to a problem coming from the Weyl algebra (the algebra on alphabet $\{x, D\}$ with the single relation $Dx=xD+1$). This is joint work with J. Hilyardand J. Engbers.


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