Notes on \(G_{2}\), determinants, and equidistribution

DOI10.1016/j.ffa.2003.11.002zbMath1065.11060OpenAlexW1984836893MaRDI QIDQ1827587

Nicholas M. Katz

Publication date: 6 August 2004

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2003.11.002

zbMATH Keywords

exponential sumsmonodromyequidistribution

Mathematics Subject Classification ID

Exponential sums (11T23) Trigonometric and exponential sums (general theory) (11L03)

Related Items (8)

RIGID LOCAL SYSTEMS ON WITH FINITE MONODROMY ⋮ \(G_{2}\) and some exceptional Witt vector identities ⋮ Rigid local systems and alternating groups ⋮ \(G_2\) and hypergeometric sheaves ⋮ Torsion-free G2-structures with identical Riemannian metric ⋮ The distribution of the trace in the compact group of type 𝐆₂ ⋮ Rigid local systems with monodromy group the Conway group \(\mathsf{Co}_3\) ⋮ Rigid local systems and finite symplectic groups

Cites Work

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• Chevalley groups of type \(G_ 2\) as the group of a trilinear form
• Fourier transformat, constants of the functional equations and Weil conjecture
• On the monodromy groups attached to certain families of exponential sums
• Increasing subsequences and the classical groups
• Finite subgroups of G₂,(c)
• Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)
• Exponential Sums and Differential Equations. (AM-124)
• A semicontinuity result for monodromy under degeneration
• Linear algebraic groups.
• Sums of Betti numbers in arbitrary characteristic.
• \(L\)-functions and monodromy: four lectures on Weil II

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