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010   $a9786611899264
010   $a981-270-332-2
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100   $a20060510d2005      uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aAutomorphic forms and Shimura varieties of PGSp (2)$b[electronic resource] /$fby Yuval Z. Flicker
210   $aHackensack, N.J. $cWorld Scientific Publishing$dc2005
215   $a1 online resource (338 p.)
300   $aDescription based upon print version of record.
311   $a981-256-403-9 
320   $aIncludes bibliographical references (p. 311-319) and index.
327   $aPREFACE; 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)
330   $aThe 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 
606   $aAutomorphic forms
606   $aShimura varieties
615  0$aAutomorphic forms.
615  0$aShimura varieties.
676   $a515/.9
700   $aFlicker$b Yuval Z$g(Yuval Zvi),$f1955-$01501799
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910783926903321
996   $aAutomorphic forms and Shimura varieties of PGSp (2)$93729101
997   $aUNINA