Automorphic representations of low rank groups

Cover.
CONTENTS.
PREFACE.
PART 1. ON THE SYMMETRIC SQUARE LIFTING.
INTRODUCTION.
I. FUNCTORIALITY AND NORMS.
I.1 Hecke algebra.
I.2 Norms.
I.3 Local lifting.
I.4 Orthogonality.
II. ORBITAL INTEGRALS.
II. 1 Fundamental lemma.
II. 2 Differential forms.
II. 3 Matching orbital integrals.
II. 4 Germ expansion.
III. TWISTED TRACE FORMULA.
III. 1 Geometric side.
III. 2 Analytic side.
III. 3 Trace formulae.
IV. TOTAL GLOBAL COMPARISON.
IV. 1 The comparison.
IV. 2 Appendix: Mathematica program.
V. APPLICATIONS OF A TRACE FORMULA.
V.1 Approximation.
V.2 Main theorems.
V.3 Characters and genericity.
VI. COMPUTATION OF A TWISTED CHARACTER.
VI. 1 Proof of theorem, anisotropic case 13;.
VI. 2 Proof of theorem, isotropic case.
PART 2. AUTOMORPHIC REPRESENTATIONS OF THE UNITARY GROUP U(3,E/F)13;.
INTRODUCTION.
1. Functorial overview.
2. Statement of results.
I. LOCAL THEORY.
I.1 Conjugacy classes.
I.2 Orbital integrals.
I.3 Fundamental lemma.
I.4 Admissible representations.
I.5 Representations of U(2,1;C/R).
I.6 Fundamental lemma again.