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

Format:

Book

Author/Creator:

Flicker, Yuval Z. (Yuval Zvi), 1955-

Language:

English

Subjects (All):

Automorphic forms.

Shimura varieties.

Physical Description:

1 online resource (338 p.)

Edition:

1st ed.

Place of Publication:

Hackensack, N.J. : World Scientific Publishing, c2005.

Language Note:

English

Summary:

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

Contents:

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)

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 311-319) and index.

ISBN:

9786611899264

9781281899262

1281899267

9789812703323

9812703322

OCLC:

476063165