A twisted topological trace formula for Hecke operators and liftings from symplectic to general linear groups

• Verfasst von: Weselmann, Uwe [VerfasserIn]
• Titel: A twisted topological trace formula for Hecke operators and liftings from symplectic to general linear groups
• Verf.angabe: Uwe Weselmann
• E-Jahr: 2012
• Jahr: January 2012
• Umfang: 56 S.
• Fussnoten: 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
• Titel Quelle: Enthalten in: Compositio mathematica
• Ort Quelle: Cambridge : Cambridge Univ. Press, 1935
• Jahr Quelle: 2012
• Band/Heft Quelle: 148(2012), 1, Seite 65-120
• ISSN Quelle: 1570-5846
• DOI: doi:10.1112/S0010437X11005641
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1584499605