02944nam 2200601Ia 450 991045069250332120200520144314.01-281-89926-79786611899264981-270-332-2(CKB)1000000000334264(EBL)296067(OCoLC)476063165(SSID)ssj0000107978(PQKBManifestationID)11138295(PQKBTitleCode)TC0000107978(PQKBWorkID)10017892(PQKB)10947562(MiAaPQ)EBC296067(WSP)00000041 (PPN)16517238X(Au-PeEL)EBL296067(CaPaEBR)ebr10174081(CaONFJC)MIL189926(EXLCZ)99100000000033426420060510d2005 uy 0engur|n|---|||||txtccrAutomorphic forms and Shimura varieties of PGSp (2)[electronic resource] /by Yuval Z. FlickerHackensack, N.J. World Scientific Publishingc20051 online resource (338 p.)Description based upon print version of record.981-256-403-9 Includes bibliographical references (p. 311-319) and index.PREFACE; ACKNOWLEDGMENT; CONTENTS; PART 1. LIFTING AUTOMORPHIC FORMS OF PGSp(2) TO PGL(4); I. PRELIMINARIES; II. BASIC FACTS; III. TRACE FORMULAE; IV. LIFTING FROM SO(4) TO PGL(4); V. LIFTING FROM PGSp(2) TO PGL(4); VI. FUNDAMENTAL LEMMA; PART 2. ZETA FUNCTIONS OF SHIMURA VARIETIES OF PGSp(2); I. PRELIMINARIES; II. AUTOMORPHIC REPRESENTATIONS; III. LOCAL TERMS; IV. REAL REPRESENTATIONS; V. GALOIS REPRESENTATIONS; PART 3. BACKGROUND; I. ON AUTOMORPHIC FORMS; II. ON ARTIN'S CONJECTURE; REFERENCES; INDEX; AUTOMORPHIC FORMS AND SHIMURA VARIETIES OF PGSp(2)The area of automorphic representations is a natural continuation of studies in the 19th and 20th centuries on number theory and modular forms. A guiding principle is a reciprocity law relating infinite dimensional automorphic representations with finite dimensional Galois representations. Simple relations on the Galois side reflect deep relations on the automorphic side, called "liftings." This in-depth book concentrates on an initial example of the lifting, from a rank 2 symplectic group PGSp(2) to PGL(4), reflecting the natural embedding of Sp(2,?) in SL(4, ?). It develops the technique of Automorphic formsShimura varietiesElectronic books.Automorphic forms.Shimura varieties.515/.9Flicker Yuval Z(Yuval Zvi),1955-903140MiAaPQMiAaPQMiAaPQBOOK9910450692503321Automorphic forms and Shimura varieties of PGSp (2)2018913UNINA