Geometric cycles with local coefficients and the cohomology of arithmetic subgroups of the exceptional group \(G_{2}\)

DOI10.1007/s10711-010-9516-5zbMath1268.11073OpenAlexW1969306718MaRDI QIDQ2430714

Christoph Waldner

Publication date: 8 April 2011

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-010-9516-5

zbMATH Keywords

group cohomologyarithmetic groupintersection numberSchur functorexceptional group \(G_{2}\)

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Cohomology of arithmetic groups (11F75)

Related Items (1)

A construction of residues of Eisenstein series and related square-integrable classes in the cohomology of arithmetic groups of low \(k\)-rank

Cites Work

• Geometric construction of cohomology for arithmetic groups. I
• Composition algebras and their automorphisms
• Arithmetic subgroups of algebraic groups
• On multiple points of smooth immersions
• Limit formulas for multiplicities in \(L^2(\Gamma\setminus G)\)
• Non-univalent harmonic maps homotopic to diffeomorphisms.
• On vector bundle valued harmonic forms and automorphic forms on symmetric Riemannian manifolds
• Finite energy foliations on overtwisted contact manifolds
• Lectures on Kähler manifolds
• Geometric cycles, arithmetic groups and their cohomology
• Geometric cycles and the cohomology of arithmetic subgroups of the exceptional groupG₂
• Weyl’s construction and tensor power decomposition for 𝐺₂
• Intersection Numbers of Special Cycles
• Cycles with local coefficients for orthogonal groups and vector-valued Siegel modular forms
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