Number of irreducible \(\ell\)-adic local systems on a curve

DOI10.1016/j.crma.2018.10.007zbMath1404.14025arXiv1807.04659OpenAlexW2901713886MaRDI QIDQ1632803

Hongjie Yu

Publication date: 17 December 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.04659

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Étale and other Grothendieck topologies and (co)homologies (14F20) Finite ground fields in algebraic geometry (14G15) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (1)

On the Ramanujan conjecture for automorphic forms over function fields I. Geometry

Cites Work

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• Counting local systems with principal unipotent local monodromy
• Mirror symmetry for moduli spaces of Higgs bundles via \(p\)-adic integration
• Mixed Hodge polynomials of character varieties. With an appendix by Nicholas M. Katz.
• Number of two-dimensional irreducible representations of the fundamental group of a curve over a finite field
• A trace formula for reductive groups. I: Terms associated to classes in G(Q)
• Representation varieties and character varieties
• Drinfeld shtukas and Langlands correspondence.
• Moduli Space of Semistable Pairs on a Curve
• Notes on Motives in Finite Characteristic
• Counting rank two local systems with at most one, unipotent, monodromy
• Indecomposable vector bundles and stable Higgs bundles over smooth projective curves

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