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- W1500759486 abstract "Exploiting the description of rings of differential operators as Azumaya algebras on cotangent bundles, we show that the moduli stack of flat connections on a curve (allowed to acquire orbifold points) defined over an algebraically closed field of positive characteristic is etale locally equivalent to a moduli stack of Higgs bundles over the Hitchin base. We then study the interplay with stability and generalize a result of Laszlo-Pauly, concerning properness of the Hitchin map. Using Arinkin's autoduality of compactified Jacobians we extend the main result of Bezrukavnikov-Braverman, the Langlands correspondence for D-modules in positive characteristic for smooth spectral curves, to the locus of integral spectral curves." @default.
- W1500759486 created "2016-06-24" @default.
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- W1500759486 date "2012-01-03" @default.
- W1500759486 modified "2023-09-27" @default.
- W1500759486 title "Moduli of flat connections in positive characteristic" @default.
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