This volume contains refereed papers that were presented at the 31st Taniguchi International Symposium on the subject of Symplectic Geometry and Quantization Problems held at Sanda, Japan, from July 1217, 1993, and a satellite symposium held at Keio University, Yokohama, Japan, from July 2124, 1993T.p. verso.

Includes bibliographical references.

Some remarks on the classification of Poisson Lie groups ; Lie groups and algebras in infinite dimension: a new approach ; Equivariant cohomology and stationary phase ; The Bargmann representation, generalized Dirac operators and the index of pseudodifferential operators on bf R^n ; Quantization by means of twodimensional surfaces (membranes): geometrical formulas for wavefunctions ; Geometric starproducts ; Vassiliev invariants and de Rham complex on the space of knots ; Geometry of loop groups and WessZuminoWitten models ; The noncommutative algebra of the quantum group rm SU_q(2) as a quantized Poisson manifold ; Symplectic and Poisson structures on some loop groups ; The Euler and GodbillonVey forms and symplectic structures on rm Diff^\infty _+(S^1)\rm SO(2) ; A taufunction for the finite Toda molecule, and information spaces ; Deformation quantizations of Poisson algebras ; An analogue of Edmonds' theorem for loop spaces ; Traces and triangles in symmetric symplectic spaces ; Geometric quantization of Poisson groups diagonal and soft deformations Michel Cahen Simone Gutt and John Rawnsley ; Pierre Dazord ; J J Duistermaat ; E Getzler ; Mikhail Karasev ; Mikhail Karasev ; Toshitake Kohno ; Hiroshi Konno ; Tetsuya Masuda and Hideki Omori ; Kentaro Mikami ; Hitoshi Moriyoshi ; Yoshimasa Nakamura ; Hideki Omori Yoshiaki Maeda and Akira Yoshioka ; Kaoru Ono and Stephan Stolz ; Alan Weinstein ; Stanisaw Zakrzewski