\({A_{\mathfrak{q}}} \)-components of geometric classes in compact Hermitian locally symmetric spaces

DOI10.1215/21562261-2022-0031OpenAlexW4312946636MaRDI QIDQ2685110

Arghya Mondal

Publication date: 19 February 2023

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.03730

zbMATH Keywords

vanishing theoremautomorphic representationsgeometric cycles

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Cites Work

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• A vanishing theorem for modular symbols on locally symmetric spaces
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• The secondary spherical functions and automorphic Green currents for certain symmetric pairs
• Compact Clifford-Klein forms of symmetric spaces
• Intersection numbers of cycles on locally symmetric spaces and Fourier coefficients of holomorphic modular forms in several complex variables
• Intersection Numbers of Special Cycles
• Theory of representations and theory of automorphic functions
• Ergodicity of Flows on Homogeneous Spaces

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