Combinatorial Aspect of Integrable Systems (Mathematical Society of Japan Memoirs)

This volume is a collection of six papers based on the expository lectures of the workshop Combinatorial Aspect of Integrable Systems held at RIMS during July 26 30, 2004, as a part of the Project Research 2004 Method of Algebraic Analysis in Integrable Systems . The topics range over crystal bases of quantum groups, its algebra geometric analogue known as geometric crystal, generalizations of Robinson Schensted type correspondence, fermionic formula related to Bethe ansatz, applications of crystal bases to soliton celluar automata, Yang Baxter maps, and integrable discrete dynamics. All the papers are friendly written with many illustrative examples and intimately related to each other. This volume will serve as a good guide for researchers and graduate students who are interested in this fascinating subject.