Base change for GL(2)

Robert P. Langlands0691082634, 0691082723, 9780691082721, 9780691082639

The problem of base change or of lifting for automorphic representations can be introduced in several ways. It emerges very quickly when one pursues the formal principles expounded in the article 20 which can in fact be reduced to one, viz., the functoriality of automorphic forms with respect to what is now referred as the L-group.

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Table of contents :
Foreword……Page 3
1. Introduction……Page 5
2. Properties of Base Change……Page 13
3. Applications to Artin L-functions……Page 19
4. σ-Conjugacy……Page 26
5. Spherical Functions……Page 31
6. Orbital Integrals……Page 57
7. Characters and Local Lifting……Page 69
8. Convolution……Page 97
9. The Primitive State of our Subject Revealed……Page 100
10. The Trace formula……Page 116
11. The Comparison……Page 133
References……Page 156