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Promotion operator on rigged configurations of type A
Algebra & Discrete Mathematics| Speaker: | Qiang Wang, UC Davis, Mathematics |
| Location: | 2112 MSB |
| Start time: | Fri, Apr 10 2009, 1:10PM |
In her work on crystal structures on rigged configurations, Schilling proposed a promotion operator $\overline{pr}$ on the set of rigged configurations, and conjectured that $\overline{pr}$ corresponds to the promotion operator $pr$ on crystals of type A under a generalization of the bijection of Kerov, Kirillov and Reshetikhin between crystals (or Young tableaux) and rigged configurations.
In the recent joint work with Schilling, we proved this conjecture. In this talk I will explain the statement and the significance of the conjecture, and outline the proof.