The multifacettes of the Stasheff polytope

Speaker(s)

Jean-Louis Loday

Affiliation

Université Louis Pasteur

Date

Jan. 9, 2007, noon

Room

room 5810

Seminar

Seminar Algebraic Topology

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The Stasheff complex is a polytope whose vertices are in bijection with the planar binary trees (one polytope for each n). It plays a role in many problems in algebraic topology (loop spaces, compactification). Recently it appeared also in algebraic combinatorics and in noncommutative geometry. In this lecture I will present a simple construction of these polytopes and show that the minimal triangulation is related to the "parking functions". Wspólne posiedzenie seminarium z Topologii Algebraicznej i seminarium z Geometrii Nieprzemiennej.

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