LEADER 02681nam 2200577Ia 450 001 9910484970303321 005 20200520144314.0 010 $a9783540893066 010 $a3540893067 024 7 $a10.1007/978-3-540-89306-6 035 $a(CKB)1000000000718093 035 $a(SSID)ssj0000317461 035 $a(PQKBManifestationID)11253555 035 $a(PQKBTitleCode)TC0000317461 035 $a(PQKBWorkID)10293464 035 $a(PQKB)10306614 035 $a(DE-He213)978-3-540-89306-6 035 $a(MiAaPQ)EBC3064159 035 $a(PPN)134130510 035 $a(EXLCZ)991000000000718093 100 $a20081030d2009 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aEndoscopy for GSp(4) and the cohomology of Siegel modular threefolds /$fRainer Weissauer 205 $a1st ed. 2009. 210 $aBerlin $cSpringer$dc2009 215 $a1 online resource (XVIII, 374 p.) 225 1 $aLecture notes in mathematics,$x0075-8434 ;$v1968 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a9783540893059 311 08$a3540893059 320 $aIncludes bibliographical references (p. 355-359) and index. 327 $aAn 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. 330 $aThe geometry of modular curves and the structure of their cohomology groups have been a rich source for various number-theoretical applications over the last decades. Similar applications may be expected from the arithmetic of higher dimensional modular varieties. For Siegel modular threefolds some basic results on their cohomology groups are derived in this book from considering topological trace formulas. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1968. 606 $aSiegel domains 606 $aCohomology operations 615 0$aSiegel domains. 615 0$aCohomology operations. 676 $a512.73 700 $aWeissauer$b Rainer$056493 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484970303321 996 $aEndoscopy for GSp(4) and the cohomology of Siegel modular threefolds$9230620 997 $aUNINA