Geometric realization of r-Tamari lattices
Presented by Matjaz KONVALINKA
Type: Oral presentation
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).