Cluster algebra and Poisson geometry

by Michael Gekhtman

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Differential geometry -- Symplectic geometry, contact geometry -- Poisson manifolds; Poisson groupoids and algebroidsPoisson algebrasCluster algebrasAssociative rings and algebras -- Hopf algebras, quantum groups and related topics -- Connections with combinatoricsCommutative algebra -- Arithmetic rings and other special rings -- Cluster algebrasCombinatorics -- Algebraic combinatorics -- Combinatorial aspects of commutative algebraAlgebraic geometry -- Special varieties -- Grassmannians, Schubert varieties, flag manifolds