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Summary: Clay Mathematics Proceedings
Volume 4, 2005
An Introduction to the Trace Formula
James Arthur
Contents
Foreword 3
Part I. The Unrefined Trace Formula 7
1. The Selberg trace formula for compact quotient 7
2. Algebraic groups and adeles 11
3. Simple examples 15
4. Noncompact quotient and parabolic subgroups 20
5. Roots and weights 24
6. Statement and discussion of a theorem 29
7. Eisenstein series 31
8. On the proof of the theorem 37
9. Qualitative behaviour of JT
(f) 46
10. The coarse geometric expansion 53
11. Weighted orbital integrals 56
12. Cuspidal automorphic data 64
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