Barbara BaumeisterUniversität Bielefeld, Germany
Kai-Uwe BuxUniversität Bielefeld, Germany
Friedrich GötzeUniversität Bielefeld, Germany
Dawid KielakUniversität Bielefeld, Germany
Henning KrauseUniversität Bielefeld, Germany
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Non-crossing partitions have been a staple in combinatorics for quite some time. More recently, they have surfaced (sometimes unexpectedly) in various other contexts from free probability to classifying spaces of braid groups. Also, analogues of the non-crossing partition lattice have been introduced. Here, the classical noncrossing partitions are associated to Coxeter and Artin groups of type A, which explains the tight connection to the symmetric groups and braid groups. We shall outline those developments.