Counting local systems via the trace formula

DOI10.1515/crelle-2014-0146zbMath1374.14020OpenAlexW2317357824MaRDI QIDQ2408332

Yuval Z. Flicker

Publication date: 12 October 2017

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

Full work available at URL: https://doi.org/10.1515/crelle-2014-0146

zbMATH Keywords

function fieldstrace formulaautomorphic representationsLefschetz fixed point formula

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 (3)

Explicit forms of the trace formula for \(\mathrm{GL}(2)\) ⋮ Local systems with tame, and a unipotent, local monodromy ⋮ Counting local systems with tame ramification

Cites Work

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• Counting local systems with principal unipotent local monodromy
• Volumes of S-arithmetic quotients of semi-simple groups. With an appendix by Moshe Jarden and Gopal Prasad
• Stable trace formula: Elliptic singular terms
• Rigidity for automorphic forms
• Tamagawa numbers
• Number of two-dimensional irreducible representations of the fundamental group of a curve over a finite field
• Adèles and algebraic groups. (Appendix 1: The case of the group \(G_2\), by M. Demazure. Appendix 2: A short survey of subsequent research on Tamagawa numbers, by T. Ono)
• Drinfeld shtukas and Langlands correspondence.
• Eisenstein series and the trace formula for \(\mathrm{GL}(2)\) over a function field
• Les Constantes des Equations Fonctionnelles des Fonctions L
• Counting rank two local systems with at most one, unipotent, monodromy

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