A twisted topological trace formula for Hecke operators and liftings from symplectic to general linear groups
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
January 2012
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| In: |
Compositio mathematica
Year: 2012, Volume: 148, Issue: 1, Pages: 65-120 |
| ISSN: | 1570-5846 |
| DOI: | 10.1112/S0010437X11005641 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/ 10.1112/S0010437X11005641
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| Author Notes: | Uwe Weselmann |
| Item Description: | Published online by Cambridge University Press: 09 November 2011 Gesehen am 27.11.2018 For the locally symmetric space X attached to an arithmetic subgroup of an algebraic group G of Q-rank r we construct a compact manifold X˜ by glueing together 2r copies of the Borel-Serre-compactification of X. We apply the classical Lefschetz fixed point formula to X˜ and get formulas for the traces of Hecke operators H acting on the cohomology of X. We allow twistings of H by outer automorphisms η of G. We stabilize this topological trace formula and compare it with the corresponding formula for an endoscopic group of the pair (G, η). As an application we deduce a weak lifting theorem for the lifting of automorphic representations from Siegel modular groups to general linear groups |
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| Physical Description: | Online Resource |
| ISSN: | 1570-5846 |
| DOI: | 10.1112/S0010437X11005641 |