Description
Book SynopsisDevelops the stable trace formula for unitary groups in three variables. This work applies the stable trace formula to obtain a classification of automorphic representations. It presents the case in which the stable trace formula has been worked out beyond the case of SL (2) and related groups.
Trade Review"Reading a book like this may cause the reader to wonder when mathematics turns into art. The author has worked to create a body of knowledge which is impressive in depth and breadth and suggestive in exemplifying phenomena which transcend his special case."--Mathematical Reviews
Table of Contents*Frontmatter, pg. i*Introduction, pg. ix*Chapter 1. Preliminary definitions and notation, pg. 1*Chapter 2. The trace formula, pg. 11*Chapter 3. Stable conjugacy, pg. 19*Chapter 4. Orbital integrals and endoscopic groups, pg. 39*Chapter 5. Stabilization, pg. 68*Chapter 6. Weighted orbital integrals, pg. 79*Chapter 7. Elliptic singular terms, pg. 89*Chapter 8. Germ expansions and limit formulas, pg. 112*Chapter 9. Singularities, pg. 134*Chapter 10. The stable trace formula, pg. 153*Chapter 11. The Unitary group in two variables, pg. 161*Chapter 12. Representation theory, pg. 171*Chapter 13. Automorphic representations, pg. 198*Chapter 14. Comparison of inner forms, pg. 232*Chapter 15. Additional results, pg. 246*References, pg. 251*Subject Index, pg. 258*Notation Index, pg. 259
