C.I.M.E. Foundation Subseries

2 primary works

Integrable Systems and Quantum Groups

by Ron Donagi, Boris Dubrovin, Edward Frenkel, and Emma Previato

Published 1 November 1995

The aim of this CIME Session was to review the state of the art in the recent development of the theory of integrable systems and their relations with quantum groups. The purpose was to gather geometers and mathematical physicists to allow a broader and more complete view of these attractive and rapidly developing fields. The papers contained in this volume have at the same time the character of survey articles and of research papers, since they contain both a survey of current problems and a number of original contributions to the subject.

Representation Theory and Complex Analysis

by Michael Cowling, Edward Frenkel, and Masaki Kashiwara

Published 27 February 2008

Six leading experts lecture on a wide spectrum of recent results on the subject of the title. They present a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces, and recall the concept of amenability. They further illustrate how representation theory is related to quantum computing; and much more. Taken together, this volume provides both a solid reference and deep insights on current research activity.