02681nam 2200577Ia 450 991048497030332120200520144314.09783540893066354089306710.1007/978-3-540-89306-6(CKB)1000000000718093(SSID)ssj0000317461(PQKBManifestationID)11253555(PQKBTitleCode)TC0000317461(PQKBWorkID)10293464(PQKB)10306614(DE-He213)978-3-540-89306-6(MiAaPQ)EBC3064159(PPN)134130510(EXLCZ)99100000000071809320081030d2009 uy 0engurnn|008mamaatxtccrEndoscopy for GSp(4) and the cohomology of Siegel modular threefolds /Rainer Weissauer1st ed. 2009.Berlin Springerc20091 online resource (XVIII, 374 p.) Lecture notes in mathematics,0075-8434 ;1968Bibliographic Level Mode of Issuance: Monograph9783540893059 3540893059 Includes bibliographical references (p. 355-359) and index.An Application of the Hard Lefschetz Theorem -- CAP-Localization -- The Ramanujan Conjecture for Genus two Siegel modular Forms -- Character identities and Galois representations related to the group GSp(4) -- Local and Global Endoscopy for GSp(4) -- A special Case of the Fundamental Lemma I -- A special Case of the Fundamental Lemma II -- The Langlands-Shelstad transfer factor -- Fundamental lemma (twisted case) -- Reduction to unit elements -- Appendix on Galois cohomology -- Appendix on Double Cosets.The geometry of modular curves and the structure of their cohomology groups have been a rich source for various number-theoretical applications over the last decades. Similar applications may be expected from the arithmetic of higher dimensional modular varieties. For Siegel modular threefolds some basic results on their cohomology groups are derived in this book from considering topological trace formulas.Lecture notes in mathematics (Springer-Verlag) ;1968.Siegel domainsCohomology operationsSiegel domains.Cohomology operations.512.73Weissauer Rainer56493MiAaPQMiAaPQMiAaPQBOOK9910484970303321Endoscopy for GSp(4) and the cohomology of Siegel modular threefolds230620UNINA