Fields- 2018-2019 Geometric Structures Laboratory

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    Multiplicative geometric structures on Lie groupoids

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    Toric generalized Kähler structures

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    T-duality and generalized geometry

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    Spectral coordinates, pleated surfaces, and condensed matter physics

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    Mirror symmetry and toric geometry

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    Supersymmetric sigma models and generalized Kähler geometry

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    Langlands duality and self-duality for the moduli of Higgs bundles

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    Higher length-twist coordinates with applications: effective superpotentials from the geometry of opers

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    Stratified hyperkähler spaces and Nahm's equations

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    Nahm's equations, groupoids, and Higgs bundles

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