Tamari lattices originated from weakenings or reinterpretations
of the familar associativity law. This has been the subject of Dov
Tamari's thesis at the Sorbonne in Paris in 1951 and the central
theme of his subsequent mathematical work. Tamari lattices can be
realized in terms of polytopes called associahedra, which in fact
also appeared first in Tamari's thesis.
By now these beautiful structures have made their appearance in
many different areas of pure and applied mathematics, such as
algebra, combinatorics, computer science, category theory,
geometry, topology, and also in physics. Their interdisciplinary
nature provides much fascination and value.
On the occasion of Dov Tamari's centennial birthday, this book
provides an introduction to topical research related to Tamari's
work and ideas. Most of the articles collected in it are written in
a way accessible to a wide audience of students and researchers in
mathematics and mathematical physics and are accompanied by high
quality illustrations.
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