Vi

CONTENTS

Examples of dual reductive pairs 287

By STEPHEN GELBART

On a relation between SL2 cusp forms and automorphic forms on orthogonal

groups 297

By S. RALLIS

A counterexample to the "generalized Ramanujan conjecture" for (quasi-)

split groups 315

By R. HOWE and I.I. PIATETSKI-SHAPIRO

Part 2

III. Automorphic representations and L-functions

Number theoretic background 3

By J. TATE

Automorphic L-functions 27

By A. BOREL

Principal L-functions of the linear group 63

By HERVÉ JACQUET

Automorphic L-functions for the symplectic group GSp4 87

By MARK E. NOVODVORSKY

On liftings of holomorphic cusp forms 97

By TAKURO SHINTANI

Orbital integrals and base change 111

By R. KOTTWITZ

The solution of a base change problem for GL(2) (following Langlands,

Saito, Shintani) 115

By P. GÉRARDIN and J.-P. LABESSE

Report on the local Langlands conjecture for GL2 135

By J. TUNNELL

IV. Arithmetical algebraic geometry and automorphic L-functions

The Hasse-Weil ^-function of some moduli varieties of dimension greater

than one 141

By W. CASSELMAN

Points on Shimura varieties mod P 165

By J. S. MILNE

Combinatorics and Shimura varieties mod p (based on lectures by

Langlands) 185

By R. KOTTWITZ

Notes on L-indistinguishability (based on a lecture by R. P. Langlands) . . . . 193

By D. SHELSTAD

Automorphic representations, Shimura varieties, and motives. Ein

Märchen 205

By R. P. LANGLANDS