Cycles with local coefficients for orthogonal groups and vector-valued Siegel modular forms

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dc.creatorFunke, Jens
dc.creatorMillson, John
dc.date2004-08-03
dc.date.accessioned2026-07-07T05:11:00Z
dc.date.available2026-07-07T05:11:00Z
dc.descriptionThe theta correspondence has been an important tool in studying cycles in locally symmetric spaces of orthogonal type. We generalize the Kudla-Millson relation between intersection numbers of cycles and Fourier coefficients of Siegel modular forms to the case where the cycles have local coefficients. Now the generating series of the cycles give rise to vector-valued Siegel modular forms. The underlying correspondence between the highest weights of the orthogonal and the symplectic group coincides with the one obtained by Adams for which we provide a geometric interpretation.
dc.identifierhttps://arxiv.org/abs/math/0408050
dc.identifierhttp://arxiv.org/abs/math/0408050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72103
dc.subjectNumber Theory
dc.subjectRepresentation Theory
dc.subject11F27, 11F46, 22E40
dc.titleCycles with local coefficients for orthogonal groups and vector-valued Siegel modular forms
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