**Title:** Counting colored 3D Young diagrams with vertex operators

**Speaker:** Benjamin Young

**Speaker Info:** UBC

**Brief Description:**

**Special Note**: **Please note the room change**

**Abstract:**

I will show how to compute some multivariate generating functions for 3D Young diagrams (otherwise known as "plane partitions"). Each box in a 3D Young diagram gets assigned a "color" according to a certain pattern; the variables keep track of how many boxes of each color there are.My generating functions also turn out to be orbifold Donaldson-Thomas partition functions for C^3/ G, where G is a finite abelian subgroup of SO(3). This talk should also serve as an introduction to the vertex operator calculus of Okounkov/Reshetikhin.

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