Rigid local systems on \(\mathbb G_m\) with finite monodromy

DOI10.1016/j.aim.2010.02.008zbMath1193.22001OpenAlexW2008775317MaRDI QIDQ984882

Gross, Benedict H.

Publication date: 20 July 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2010.02.008

zbMATH Keywords

Galois grouprigid local systemsSwan conductorsDeligne-Lusztig curvesfinite simple subgroups of complex Lie groupsrigid embeddingswild inertia groupwild parameters

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10)

Related Items

RIGID LOCAL SYSTEMS ON WITH FINITE MONODROMY, Trivial \(L\)-functions for the rational function field, Moments of Weil representations of finite special unitary groups, 𝑝-group Galois covers of curves in characteristic 𝑝, Rigid local systems and alternating groups, Exponential Sums, Ree Groups and Suzuki Groups: Conjectures, Rigid local systems and finite general linear groups, The de Rham cohomology of the Suzuki curves, Local systems and finite unitary and symplectic groups

Cites Work

• Arithmetic invariants of discrete Langlands parameters
• \(G_2\) and hypergeometric sheaves
• Coxeter orbits and eigenspaces of Frobenius
• Group Representations and Lattices
• Finite simple groups which projectively embed in an exceptional Lie group are classified!
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