9-13 June 2013
Koper, Slovenia
UTC timezone
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Geometric realization of r-Tamari lattices

Presented by Matjaz KONVALINKA
Type: Oral presentation
Track: Combinatorics

Content

Tamari lattice is the lattice of all parenthesizations of a string, where two parenthesizations are in a relation if we can get one from the other by using the associative rule (xy)z -> x(yz). It is a classical result that the Tamari lattice can be realized as the 1-skeleton (edges) of the associahedron. Recently, the r-Tamari lattice was defined, and F. Bergeron has conjectured that it can be realized as the 1-skeleton of a certain polyhedral subdivision of the associahedron. I will present a proof of this conjecture (joint work with I. Pak and H. Thomas).

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Location: Koper, Slovenia

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