The Breadth of Symplectic and Poisson Geometry

Dirac structures, momentum maps, and quasi-Poisson manifolds. - Construction of Ricci-type connections by reduction and induction. - A mathematical model for geomagnetic reversals. - Nonholonomic systems via moving frames: Cartan equivalence and Chaplygin Hamiltonization. - Thompson s conjecture for real semisimple Lie groups. - The Weinstein conjecture and theorems of nearby and almost existence. - Simple singularities and integrable hierarchies. - Momentum maps and measure-valued solutions (peakons, filaments, and sheets) for the EPDiff equation. - Higher homotopies and Maurer-Cartan algebras: Quasi-Lie-Rinehart, Gerstenhaber, and Batalin-Vilkovisky algebras. - Localization theorems by symplectic cuts. - Refinements of the Morse stratification of the normsquare of the moment map. - Quasi, twisted, and all that. . . in Poisson geometry and Lie algebroid theory. - Minimal coadjoint orbits and symplectic induction. - Quantization of pre-quasi-symplectic groupoids and their Hamiltonian spaces. - Duality and triple structures. - Star exponential functions as two-valued elements. - From momentum maps and dual pairs to symplectic and Poisson groupoids. - Construction of spectral invariants of Hamiltonian paths on closed symplectic manifolds. - The universal covering and covered spaces of a symplectic Lie algebra action. - Poisson homotopy algebra: An idiosyncratic survey of homotopy algebraic topics related to Alan s interests. - Dirac submanifolds of Jacobi manifolds. - Quantum maps and automorphisms.