Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Friday, June 30, 2006, 12:15 pm

Duration: This information is not available in the database

Location: OAT S15/S16/S17

Speaker: Carsten Lange (University of Washington, Seattle)

Realisations for the associahedron and the cyclohedron

J.-L. Loday presented in 2002 an algorithm that yields integer coordinates for the asociahedron (or Stasheff polytope) from planar binary trees. He asked for a similar procedure to realise the cyclohedron (or Bott-Taubes-polytope or generalised associahedron of type B). A generalised version of his algorithm will be presented: For every orientation of a Coxeter graph of type A or B we obtain a realisation of the associahedron or cyclohedron with integer coordinates.

Joint work with Christophe Hohlweg.

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