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Lectures on the Arthur-Selberg Trace Formula
About this Title
Stephen S Gelbart, Weizemann Institute of Science, Rehovot, Israel
Publication: University Lecture Series
Publication Year:
1996; Volume 9
ISBNs: 978-0-8218-0571-8 (print); 978-1-4704-2158-8 (online)
DOI: https://doi.org/10.1090/ulect/009
MathSciNet review: MR1410260
MSC: Primary 22E55; Secondary 11F70, 11F72, 22E50
Table of Contents
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Front/Back Matter
Chapters
- Lecture I. Introduction to the trace formula
- Lecture II. Arthur’s modified kernels I: The geometric terms
- Lecture III. Arthur’s modified kernels II: The spectral terms
- Lecture IV. More explicit forms of the trace formula
- Lecture V. Simple forms of the trace formula
- Lecture VI. Applications of the trace formula
- Lecture VII. $(G,M)$-families and the spectral $J_{\chi }(f)$
- Lecture VII. Jacquet’s relative trace formula
- Lecture IX. Applications of Paley–Wiener, and concluding remarks