Boundary behaviour of special cohomology classes arising from the Weil representation

DOI10.1017/S1474748012000795zbMath1300.11036arXiv0811.0856OpenAlexW2963597384MaRDI QIDQ2841762

Jens Funke, John J. Millson

Publication date: 30 July 2013

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.0856

zbMATH Keywords

Weil representationcohomology of locally symmetric spaces

Mathematics Subject Classification ID

Theta functions and abelian varieties (14K25) Discrete subgroups of Lie groups (22E40) Theta series; Weil representation; theta correspondences (11F27)

Related Items (7)

Mock modular forms and geometric theta functions for indefinite quadratic forms ⋮ The Shimura–Shintani correspondence via singular theta lifts and currents ⋮ Theta series and generalized special cycles on Hermitian locally symmetric manifolds ⋮ The geometric theta correspondence for Hilbert modular surfaces ⋮ Geometric cycles, arithmetic groups and their cohomology ⋮ Arithmetic degrees of special cycles and derivatives of Siegel Eisenstein series ⋮ On some incomplete theta integrals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(L^ 2\)-cohomology of locally symmetric manifolds of finite volume
• The theta correspondence and harmonic forms. I
• The theta correspondence and harmonic forms. II
• Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
• On the first Betti number of a constant negatively curved manifold
• Weighted cohomology
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Construction of some generalised modular symbols
• Intersection numbers of cycles on locally symmetric spaces and Fourier coefficients of holomorphic modular forms in several complex variables
• Buildings
• On construction of holomorphic cusp forms of half integral weight
• Cycles with local coefficients for orthogonal groups and vector-valued Siegel modular forms

This page was built for publication: Boundary behaviour of special cohomology classes arising from the Weil representation