## Standard objects in 2-braid groups

Joint with Geordie Williamson, **Proc. London. Math. Soc**. 109 (2014), no. 5, 1264-1280.
We introduce the concept of **Δ-exact complexes**
for any Coxeter system. With that, we establish the existence of analogues of standard and costandard objects in 2-braid groups, thus proving the 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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January 1, 2014