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University of Sydney Algebra Seminar

Jérémie Guilhot

Friday 13 October, 12-1pm, Place: Carslaw 173

Recognizing Kazhdan-Lusztig cells using representations

The aim of this talk is to show on various examples that one can recognize Kazhdan-Lusztig cells using representations of Hecke algebras. This idea is especially interesting in the case of affine Weyl groups where one can use representations that have a very nice combinatorial descriptions in terms of alcove paths. (This is part of an ongoing project with Nathan Chapelier, Eloise Little and James Parkinson) .