Langlands program for \(p\)-adic coefficients and the petits camarades conjecture

DOI10.1515/crelle-2015-0045zbMath1386.14084arXiv1111.2479OpenAlexW2963340020WikidataQ123029160 ScholiaQ123029160MaRDI QIDQ1692364

Tomoyuki Abe

Publication date: 9 January 2018

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.2479

zbMATH Keywords

function fields\(p\)-adic Langlands correspondence

Mathematics Subject Classification ID

Langlands-Weil conjectures, nonabelian class field theory (11S37) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items (10)

Notes on isocrystals ⋮ Rank 2 local systems, Barsotti-Tate groups, and Shimura curves ⋮ Differential equations and Lie group representations ⋮ Langlands correspondence for isocrystals and the existence of crystalline companions for curves ⋮ Drinfeld's lemma for F-isocrystals, II: Tannakian approach ⋮ Minimal slope conjecture of \(F\)-isocrystals ⋮ On the pro-semisimple completion of the fundamental group of a smooth variety over a finite field ⋮ Rank 2 local systems and abelian varieties ⋮ The monodromy groups of lisse sheaves and overconvergent \(F\)-isocrystals ⋮ Bessel \(F\)-isocrystals for reductive groups

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