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Notes on the local p-adic Simpson correspondence

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Quelle <Physik>
Gewichtete Summe
Gruppe <Mathematik>
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Analytische Fortsetzung
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Folge <Mathematik>
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Algebraisches Modell
Abgeschlossene Menge
Algebraische Struktur
Gewicht <Mathematik>
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Varietät <Mathematik>
Kombinatorische Gruppentheorie
Physikalische Theorie
Iteriertes Funktionensystem
Leistung <Physik>
Matching <Graphentheorie>
Physikalisches System
Inverser Limes
Objekt <Kategorie>
Numerisches Modell


Formale Metadaten

Titel Notes on the local p-adic Simpson correspondence
Serientitel Conférences Paris Pékin Tokyo
Teil 15
Anzahl der Teile 15
Autor Tsuji, Takeshi
Lizenz CC-Namensnennung 3.0 Unported:
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DOI 10.5446/20491
Herausgeber Institut des Hautes Études Scientifiques (IHÉS)
Erscheinungsjahr 2016
Sprache Englisch

Inhaltliche Metadaten

Fachgebiet Mathematik
Abstract The local p-adic Simpson correspondence by Faltings asserts that there is a natural equivalence of categories between small generalized representations and small Higgs modules for an affine semi-stable scheme over a complete discrete valuation ring of mixed characteristic with algebraically closed residue field. However, in the case of rational coefficients, the construction of the functor from the former to the latter, reducing to the theory for integral coefficients, does not seem to work as it is written, as pointed out by Ahmed Abbes. In this talk, I give an alternative argument based on a generalized Sen's theory for the semi-stable scheme and complete the local theory for rational coefficients.

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