Standard objects in 2-braid groups

Joint with Geordie Williamson, Proc. London. Math. Soc. 109 (2014), no. 5, 1264-1280.

For any Coxeter system, we establish the existence of analogues of standard and costandard objects in 2-braid groups, thus proving a conjecture that Rouquier stated in the ICM 2006. This result was a key step for the proof by Elias and Williamson of Kazhdan-Lusztig conjectures

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