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Rigged configuration model for the crystal basis of Verma modules with highest weight 0

Student-Run Applied & Math Seminar

Speaker: Travis Scrimshaw, UC Davis
Location: 2112 MSB
Start time: Wed, Oct 15 2014, 12:10PM

Rigged configurations are combinatorial objects which arise from statistical mechanics, and have been shown to have a crystal structure in all finite types. It is known that Verma modules with highest weight 0 (or the lower half of the quantum group) admit a crystal basis. I will introduce a new model for this crystal basis using rigged configurations in all finite, affine, and simply-laced types. This is joint work with Ben Salisbury.