T-systems and the pentagram map

Abstract

These notes summarize two different connections between two discrete integrable systems, the $A_d$ $T$-system and its infinite-rank analog, the octahedron relation, and the pentagram map and its various generalizations.

21 pages, contribution to FDIS13, July 2013

References in corpus (2)

• Q-systems as cluster algebras II: Cartan matrix of finite type and the polynomial property
• Cluster X-varieties, amalgamation and Poisson-Lie groups

Cited by in corpus (3)

• Coxeter's frieze patterns at the crossroads of algebra, geometry and combinatorics
• Integrable cluster dynamics of directed networks and pentagram maps
• Projective Self-dual polygons in higher dimensions