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Classroom Contents
Algebraic Entropy in Combinatorial Dynamical Systems
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- 1 Intro
- 2 Cluster algebras: quiver mutations
- 3 Cluster algebras: variable dynamics
- 4 General T-systems (Nakanishi, 2011)
- 5 Bipartite recurrent quivers
- 6 Bipartite T-system
- 7 Tensor product
- 8 Zamolodchikov periodicity
- 9 The result
- 10 Fixed point
- 11 Strictly subadditive labeling
- 12 Finite finite quivers
- 13 The classification of Zamolodchikov periodic quivers
- 14 5 infinite families and 11 exceptional quivers
- 15 Four classes of quivers
- 16 Example: wild
- 17 ADE Dynkin diagrams
- 18 Algebraic entropy
- 19 Master conjecture
- 20 Toric quivers
- 21 affine affine classification: 41 infinite, 13 exceptional
- 22 A system of equations
- 23 Solution
- 24 Arborescence formula
- 25 Flow description
- 26 Flow example
- 27 Motivation
- 28 Examples: toric digraphs
