Integrable Combinatorics
Mathematical Physics
2017-11-22 v1 Statistical Mechanics
Combinatorics
math.MP
Representation Theory
Abstract
We explore various combinatorial problems mostly borrowed from physics, that share the property of being continuously or discretely integrable, a feature that guarantees the existence of conservation laws that often make the problems exactly solvable. We illustrate this with: random surfaces, lattice models, and structure constants in representation theory.
Cite
@article{arxiv.1711.07865,
title = {Integrable Combinatorics},
author = {Philippe Di Francesco},
journal= {arXiv preprint arXiv:1711.07865},
year = {2017}
}
Comments
15 pages, to appear in the Proceedings of the International Congress of Mathematicians 2018