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Spaces of Lattice Diagram Polynomials

Student-Run Discrete Math Seminar

Speaker: Jeff Ferreira, UC Davis
Location: 2112 MSB
Start time: Thu, Dec 6 2007, 3:10PM

In this talk we define lattice diagram determinants in two variables and the modules given by them. These modules are the objects of interest in the n!-theorem of Haiman. For the remainder of the talk we contruct a basis for the Y-free component of these modules, and if time permits, we will consider slightly more general spaces and a basis for their Y-free component.