A geometric realization of the principal block of quantum group modules at roots of unity is established as microsheaves on an affine Springer fiber, together with a wild-ramification geometric Langlands equivalence to coherent sheaves on the dual Springer resolution.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Relates the category of quantum Harish-Chandra bimodules at odd roots of unity to affine Soergel bimodules and non-commutative Springer resolution.
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Affine Springer fiber and the small quantum group
A geometric realization of the principal block of quantum group modules at roots of unity is established as microsheaves on an affine Springer fiber, together with a wild-ramification geometric Langlands equivalence to coherent sheaves on the dual Springer resolution.
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Quantum Harish-Chandra bimodules at roots of unity and affine Hecke category
Relates the category of quantum Harish-Chandra bimodules at odd roots of unity to affine Soergel bimodules and non-commutative Springer resolution.