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Harish-Chandra series for rational Cherednik algebras

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Harish-Chandra series for rational Cherednik algebras
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12
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I will discuss recent progress towards the Harish-Chandra classification for simple modules in category $\mathcal{O}$ of rational Cherednik algebras, and in particular discuss the extent to which Hecke algebras know the answer to the problem. Based on joint work with D. Juteau.