The present volume is the result of the international workshop on New Trends in Quantum Integrable Systems that was held in Kyoto, Japan, from 27 to 31 July 2009. As a continuation of the RIMS Research Project """"Method of Algebraic Analysis in Integrable Systems"""" in 2004, the workshop's aim was to cover exciting new developments that have emerged during the recent years. The subjects discussed range across diverse areas such as correlation functions of solvable models, integrable models in quantum field theory, conformal field theory, mathematical aspects of Bethe ansatz, special functions and integrable differential/difference equations, representation theory of infinite dimensional algebras, integrable models and combinatorics. Discrete KP (O Foda & G Schrader); Quantum Spin Chains at Finite Temperatures (F Ghmann & J Suzuki); On One Point Functions of Descendants of Sine-Gordon Model (M Jimbo et al.); Boundary Quantum Knizhnik-Zamolodchikov Equation (M Kasatani); TBA for the Toda Chain (K K Kozlowski & J Teschner); T-Systems, Y-Systems, and Cluster Algebras: Tamely Laced Case (T Nakanishi); KP and Toda Tau Functions in Bethe Ansatz (K Takasaki); Differential Equations Compatible with Boundary Rational qKZ Equation (Y Takeyama) and other papers. | New Trends in Quantum Integrable Systems - Proceedings of the Infinite Analysis 09 by BORIS Feigin, Hardcover | Indigo Chapters