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Preface.- About J.J. Duistermaat.- Hans Duistermaat (1942-2010).- Recollections of Hans Duistermaat.- Recollections of Hans Duistermaat.- Recollections of Hans Duistermaat.- Classical Mechanics and Hans Duistermaat.- Duistermaat-Heckman formulas and index theory.- Asymptotic equivariant index of Toeplitz operators and relative index of CR structures.- A semi-classical inverse problem I: Taylor expansions.- A semi-classical inverse problem II: reconstruction of the potential.- On the solvability of systems of pseudodifferential operators.- The Darboux process and a noncommutative bispectral problem: some explorations and challenges.- Conjugation spaces and edges of compatible torus actions.- Non-Abelian localization for U(1) Chern-Simons theory.- Symplectic implosion and non-reductive quotients.- Quantization of q-Hamiltonian SU(2)-spaces.- Wall-crossing formulas in Hamiltonian geometry.- Eigenvalue distributions and Weyl laws for semi-classical non-self-adjoint operators in 2 dimensions.- Symplectic inverse spectral theory for pseudodifferential operators.