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Axiomatization of Queer Crystals
Student-Run Research Seminar| Speaker: | Wencin Poh, UC Davis |
| Location: | 2112 MSB |
| Start time: | Thu, Mar 8 2018, 12:10PM |
Is it possible to recognize crystals associated to tensor representations from a given crystal graph? Stembridge proved an affirmative result to this problem for
crystals associated to simply-laced classical roots systems. He achieved this by providing a local characterization of such crystal graphs. Queer crystals are crystals
associated to the Lie superalgebra $\mathfrak{gl}(n|n)$. They can be used to provide a combinatorial Littlewood-Richardson rule of Schur $Q$-functions. In joint work with Maria Gillespie, Graham Hawkes and Anne Schilling, we explore if queer crystals can admit similar local characterizations in the spirit of Stembridge's work.
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