Combinatorics of Integrability
MoWe 2:30PM-3:45PM
Vincent Hall 206
Topics include:
- Laurent phenomenon: SOMOS and Gale-Robinson sequences, cluster recurrences, LP sequences.
- singularity confinement: discrete Painleve equations, R-systems.
- algebraic entropy: cluster recurrences, monomial maps, R-systems.
- pentagram map: cluster nature, singularity confinement, Devron property, generalizations.
- T systems: periodicity, linearizability, and algebraic entropy.
- Q-nets: multidimensional consistency, Devron property.
- cube recurrence.
- Arnold-Liouville integrability: in cluster structures, pentagram map and beyond.
- solitons: continuous, and discrete, and ultradiscrete.