Title: Counting colored 3D Young diagrams with vertex operators
Speaker: Benjamin Young
Speaker Info: UBC
Special Note: Please note the room change
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.Date: Thursday, April 24, 2008
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.