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内容説明 This volume contains papers presented at the meeting Deformation Theory， Symplectic Geometry and Applications， held in Ascona， June 17-21， 1996. The contents touch upon many frontier domains of modern mathematics， mathematical physics and theoretical physics and include authoritative， state-of-the-art contributions by leading scientists. New and important developments in the fields of symplectic geometry， deformation quantization， noncommutative geometry (NCG) and Lie theory are presented. Among the subjects treated are: quantization of general Poisson manifolds; new deformations needed for the quantization of Nambu mechanics; quantization of intersection cardinalities; quantum shuffles; new types of quantum groups and applications; quantum cohomology; strong homotopy Lie algebras; finite- and infinite-dimensional Lie groups; and 2D field theories and applications of NCG to gravity coupled with the standard model. Audience: This book will be of interest to researchers and post-graduate students of mathematical physics， global analysis， analysis on manifolds， topological groups， nonassociative rings and algebras， and Lie algebras.