Automorphic forms and Shimura varieties of PGSp (2) [[electronic resource] /] / by Yuval Z. Flicker

• Autore: Flicker Yuval Z (Yuval Zvi), <1955->
• Pubblicazione: Hackensack, N.J., : World Scientific Publishing, c2005
• Descrizione fisica: 1 online resource (338 p.)
• Disciplina: 515/.9
• Soggetto topico: Automorphic forms; Shimura varieties
• Soggetto genere / forma: Electronic books.
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (p. 311-319) and index.
• Nota di contenuto: 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)
• Sommario/riassunto: 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
• Titolo autorizzato: Automorphic forms and Shimura varieties of PGSp (2)
• ISBN: 1-281-89926-7; 9786611899264; 981-270-332-2
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910450692503321
• Lo trovi qui: Univ. Federico II