Cluster integrable systems

Date: 
2019/07/10 Wed 16:30 - 17:30
Room: 
Room 110, RIMS
Speaker: 
Michael Gekhtman
Affiliation: 
RIMS & University of Notre Dame
Abstract: 

Combinatorial structures embedded into a definition of cluster algebras proved instrumental in reimagining many important integrable models and helped to discover new instances of complete integrability. The talk will provide an overview of an interaction between theories of cluster algebras and integrable systems with examples ranging from dilogarithm identities to pentagram maps and their generalizations to discrete Toda-like systems that “live” on double Bruhat cells.