Local systems with tame, and a unipotent, local monodromy

DOI10.1007/S40863-023-00374-8WikidataQ125415080 ScholiaQ125415080MaRDI QIDQ6188393

Yuval Z. Flicker, Engin Özkan

Publication date: 11 January 2024

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

countinglocal systemscurves over finite fieldsautomorphic representations\(\ell\)-adic representationspseudo-coefficientsexplicit trace formulatame and Steinberg representations

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Coverings of curves, fundamental group (14H30) Analysis on (p)-adic Lie groups (22E35) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Langlands-Weil conjectures, nonabelian class field theory (11S37) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Cites Work

• Unnamed Item
• Counting local systems with principal unipotent local monodromy
• Number of two-dimensional irreducible representations of the fundamental group of a curve over a finite field
• Representations of reductive groups over finite fields
• Drinfeld shtukas and Langlands correspondence.
• Counting local systems via the trace formula
• Eisenstein series and the trace formula for \(\mathrm{GL}(2)\) over a function field
• Induced representations of reductive ${\germ p}$-adic groups. I
• Counting rank two local systems with at most one, unipotent, monodromy
• Counting local systems with tame ramification

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