| 9:30–9:50 |
Relating CAT(0) Cubical Complexes And Flag Simplicial Complexes Rowan Rowlands |
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| A cubical complex is a structure analogous to a simplicial complex but built from cubes, and such a complex is called CAT(0) if it satisfies a certain metric condition. In this talk, we explain how to associate a flag simplicial complex to each CAT(0) cubical complex, and show that these complexes share many properties. In particular, we conclude that the sets of f-vectors of these types of complexes are identical, up to an invertible linear transformation. | ||