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Supports for rational Cherednik algebras, wall-crossing bijections and crystals

Algebra & Discrete Mathematics

Speaker: Ivan Losev, Northeastern University
Location: MSB 2112
Start time: Mon, May 15 2017, 4:10PM

I will discuss a combinatorial recipe to compute the supports of irreduciblemodules in the category O for rational Cherednik algebras of type B. The recipe involves some interesting Fock space combinatorics: wall-crossing bijections and a new sl_\infty-crystal on the set of bi-partitions.