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• W3183276117 abstract "We calculate the category of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper D> <mml:semantics> <mml:mi>D</mml:mi> <mml:annotation encoding=application/x-tex>D</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-modules on the loop space of the affine line in coherent terms. Specifically, we find that this category is derived equivalent to the category of ind-coherent sheaves on the moduli space of rank one de Rham local systems with a flat section. Our result establishes a conjecture coming out of the <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=3 d> <mml:semantics> <mml:mrow> <mml:mn>3</mml:mn> <mml:mi>d</mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>3d</mml:annotation> </mml:semantics> </mml:math> </inline-formula> mirror symmetry program, which obtains new compatibilities for the geometric Langlands program from rich dualities of QFTs that are themselves obtained from string theory conjectures." @default.
• W3183276117 created "2021-08-02" @default.
• W3183276117 creator A5037225141 @default.
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• W3183276117 date "2022-06-27" @default.
• W3183276117 modified "2023-09-30" @default.
• W3183276117 title "Tate’s thesis in the de Rham setting" @default.
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• W3183276117 doi "https://doi.org/10.1090/jams/1010" @default.
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