Counting local systems with principal unipotent local monodromy

DOI10.4007/annals.2013.178.3.3zbMath1284.14026OpenAlexW2132654272WikidataQ101424602 ScholiaQ101424602MaRDI QIDQ375295

Pierre Deligne, Yuval Z. Flicker

Publication date: 29 October 2013

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4007/annals.2013.178.3.3

zbMATH Keywords

function fieldstrace formulalocal systemsautomorphic representationsLefschetz fixed point formula\(\ell\)-adic smooth sheaf\(\mathrm{GL}(n)\)principal unipotent local monodromy

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) Modular and Shimura varieties (14G35) Cohomology of arithmetic groups (11F75)

Related Items (10)

Explicit forms of the trace formula for \(\mathrm{GL}(2)\) ⋮ Number of irreducible \(\ell\)-adic local systems on a curve ⋮ Counting local systems via the trace formula ⋮ Quantitative sheaf theory ⋮ Local systems with tame, and a unipotent, local monodromy ⋮ Counting local systems with tame ramification ⋮ On the Ramanujan conjecture for automorphic forms over function fields I. Geometry ⋮ Indecomposable vector bundles and stable Higgs bundles over smooth projective curves ⋮ Moduli spaces of shtukas over the projective line ⋮ Algebraic twists of modular forms and Hecke orbits

Cites Work

• Rigidity for automorphic forms
• A simple trace formula
• Tamagawa numbers
• Number of two-dimensional irreducible representations of the fundamental group of a curve over a finite field
• The invariant theory of \(n\times n\) matrices
• Drinfeld shtukas and Langlands correspondence.
• Reductive groups over a local field
• Notes on Motives in Finite Characteristic
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