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Resumen de Quantum parameters of the geometric Langlands theory

Yifei Zhao

  • Fix a smooth, complete algebraic curve X over an algebraically closed field k of characteristic zero. To a reductive group G over k, we associate an algebraic stack ParG of quantum parameters for the geometric Langlands theory. Then we construct a family of (quasi-)twistings parametrized by ParG, whose module categories give rise to twisted D-modules on BunG as well as quasi-coherent sheaves on the DG stack LocSysG.

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