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Moduli Of Fontaine--Laffaille Representations And A Mod-p Local-global Compatibility Result.pdf

2109.02720.pdf
Preview of Moduli of Fontaine--Laffaille representations and a mod-p local-global compatibility result
🔗 Source: arxiv.org
📊 Size: 3.7 MB
📄 Pages: 169 pages
⬇️ Downloads: 111

Summary

Let F/F+ be a CM field and ev a finite unramified place of F above prime p. For a continuous representation r: Gal(Q/F) → GLn(Fp) modular for a unitary group over F+ compact at all real places, the smooth GLn(Fev)-action on the corresponding Hecke isotypical part of the mod-p cohomology determines r|Gal(Qp/Fev) when this restriction is Fontaine-Laffaille with a suitably generic semisimplification. The main result affirmatively answers the question of whether the isomorphism class of the smooth GLn(K)-representation π(r) determines the isomorphism class of ρ under mild Taylor-Wiles hypotheses.

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Description

Let F/F+ be a CM field and ev a finite unramified place of F above prime p.

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  • File Format: PDF
  • File Size: 3.7 MB
  • Pages: 169
  • Language: EN
  • Total Downloads: 111
  • Last Updated: 6 days ago

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Moduli guideModuli tutorialFontaine--Laffaille guideFontaine--Laffaille tutorialrepresentations guiderepresentations tutorialmod-p guidemod-p tutoriallocal-global guidelocal-global tutorialcompatibility guidecompatibility tutorialresult guideresult tutorial

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