Abstract:We survey the progresses on the study of symplectic geometry past four decades. We briefly deal with the convexity properties of a moment map, the classification of symplectic actions, the symplectic embedding problems, and the theory of Gromov-Witten invariants.5.1. The classification problem of symplectic actions 5.2. The symplectic embedding problems 5.3. The theory of Gromov-Witten invariants
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