Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Friday, May 04, 2012, 12:15 pm

Duration: 30 minutes

Location: CAB G11

Speaker: Carsten Lange (Freie Universität Berlin)

Posets and Polytopes

Some partitions of the symmetric group combine nice combinatorial and geometric properties: each equivalence class consists of the linear extensions of a poset and there is a convex polytope that encodes this information. This has been studied by Morton, Pachter, Shiu, Sturmfels and Wienand in the context of convex rank texts. In this talk, we focus on a special class of polytopes of this type called associahedra. We give first results how relevant information on the partition of the symmetric group can be recovered from the polytope.

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