17:00 -- 18:30 Ȋwȓ(wLpX)
Tea: 16:30 -- 17:00 R[

Last updated September 9, 2016
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927 -- 056, 17:00 -- 18:30

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CAT(0) properties for orthoscheme complexes

Abstract: Gromov showed that a cubical complex is locally CAT(0) if and only if the link of every vertex is a flag complex. Brady and MacCammond introduced an orthoscheme complex as a generalization of cubical complexes. It is, however, difficult to tell whether an orthoscheme complex is (locally) CAT(0) or not. In this talk, I will discuss a translation of Gromov's characterization for orthoscheme complexes. As a generalization of Gromov's characterization, I will show that the orthoscheme complex of locally distributive semilattice is CAT(0) if and only if it is a flag semilattice.