Integrable systems and quantum groups : lectures given at the 1st session of the Centro internazionale matematico estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 14-22, 1993 / R. Donagi [and others] ; editors, M. Francaviglia, S. Greco.

Contributor(s): Donagi, Ron | Francaviglia, M | Greco, Silvio | Centro internazionale matematico estivo
Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag): 1620.Publisher: Berlin ; New York : Springer, ©1996Description: 1 online resource (vi, 488 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540477068; 3540477063Subject(s): Quantum groups | Geometry, Algebraic | Mathematical physics | Groupes quantiques | Géométrie algébrique | Physique mathématique | Geometry, Algebraic | Mathematical physics | Quantum groups | Kwantummechanica | Integreerbaarheid | Fisica matematicaGenre/Form: Electronic books. Additional physical formats: Print version:: Integrable systems and quantum groups.DDC classification: 514/.74 LOC classification: QA3 | .L28 no. 1620 | QC20.7.G76Other classification: 31.55 Online resources: Click here to access online
Contents:
R. Donagi, E. Markman: Spectral covers, algebraically completely integrable, Hamiltonian systems, and moduli of bundles -- B. Dubrovin: Geometry of 2D topological field theories -- B. Feigin, E. Frenkel: Integrals of motion and quantum groups -- E. Previato: Seventy years of spectral curves: 1923-1993.
Action note: digitized 2010 committed to preserveSummary: 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.
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R. Donagi, E. Markman: Spectral covers, algebraically completely integrable, Hamiltonian systems, and moduli of bundles -- B. Dubrovin: Geometry of 2D topological field theories -- B. Feigin, E. Frenkel: Integrals of motion and quantum groups -- E. Previato: Seventy years of spectral curves: 1923-1993.

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.

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