The higher Stasheff-Tamari posets and the higher Bruhat orders
Fields Institute, University of Toronto
refreshments at 3:45pm
The higher Bruhat orders are a generalization of weak Bruhat order on S_n.
They can be defined combinatorially in terms of inversion sets,
generalizing the notion of inversion set of a permutation, or geometically
as sets of d-faces of an n-cube, generalizing the description of S_n as
paths through an n-cube. The higher Stasheff-Tamari posets (which
generalize the Tamari lattices) have an analogous geometric definition
where the cube is replaced by a simplex. In this talk, I will review all
the necessary definitions, and then discuss a new combinatorial "inversion
set" description of the higher Stasheff-Tamari posets which amounts to
giving from each Stasheff-Tamari poset into a corresponding higher Bruhat
Speaker's Contact Info: hthomas(at-sign)fields.utoronto.ca
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