-Categorical Generalized Langlands Correspondence III: -Stackification

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Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1. 1$\infty$-Categorical Generalized Langlands Correspondence II: Langlands Program Formalism2024
2. 2The "Galois Correspondence" for n-Stacks2024
3. 3Moduli stacks of Galois representations and the $p$-adic local Langlands correspondence for $\mathrm{GL}_2(\mathbb{Q}_p)$2024
4. 4Topologization and Functional Analytification III2024
5. 5Moduli stacks of Galois representations and the <i>p</i> -adic local Langlands correspondence for normal upper G normal upper L Subscript 2 Baseline left parenthesis double struck upper Q Subscript p Baseline right parenthesis <mml:math xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mnf="http://cambridge.org/core/manifest" xmlns:cup="http://contentservices.cambridge.org" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:m="http://cambridge.org/core/metadata" xmlns:core="http://cambridge.org/core" xmlns:c="http://cambridge.org/core/content"> <mml:msub> <mml:mrow> <mml:mrow> <mml:mi mathvariant="normal">G</mml:mi> <mml:mi mathvariant="normal">L</mml:mi> </mml:mrow> </mml:mrow> <mml:mn>2</mml:mn> </mml:msub> <mml:mo stretchy="false">(</mml:mo> <mml:mrow> <mml:mrow> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi mathvariant="double-struck">Q</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>p</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:mrow> </mml:mrow> <mml:mo stretchy="false">)</mml:mo> </mml:math> ${\mathrm{GL}}_2({{{\mathbb{Q}_{p}}}})$2026