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Subword complexes, cluster complexes, and generalized multi-associahedra

Algebra & Discrete Mathematics

Speaker: Cesar Ceballos, FU Berlin
Location: 1147 MSB
Start time: Mon, Nov 28 2011, 2:10PM

We present a new family of simplicial complexes called multi-cluster complexes. These complexes generalize the concept of cluster complexes, and extend the notion of multi-associahedra to arbitrary finite Coxeter groups.

We present combinatorial and geometric properties of these objects, as well as open problems and conjectures.

This is joint work with Jean-Philippe Labbé and Christian Stump