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.