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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