On the Transfer of Distributions: Weighted Orbital Integrals
نویسنده
چکیده
0. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 209 1. Multiple groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 212 2. K-groups and transfer factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 217 3. The conjectural transfer identity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 225 4. A generalization of weighted orbital integrals . . . . . . . . . . . . . . . . . . . . . . . . . . . . 231 5. The corresponding endoscopic construction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 240 6. Stable splitting formulas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 246 7. Stable descent formulas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 251 8. Local vanishing theorems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 257 9. Toward a stable local trace formula. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 267 10. A simple application . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 278
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