作者: Dan Barbasch , Jeffrey Adams , David A. Vogan
DOI:
关键词: Langlands program 、 Pure mathematics 、 Langlands dual group 、 Unipotent 、 Classification theorem 、 Local Langlands conjectures 、 Fixed point 、 Langlands classification 、 Algebraic geometry 、 Mathematics 、 Discrete mathematics
摘要: 1. Introduction.- 2. Structure theory: real forms.- 3. extended groups and Whittaker models.- 4. L-groups.- 5. Langlands parameters L-homomorphisms.- 6. Geometric parameters.- 7. Complete geometric perverse sheaves.- 8. Perverse sheaves on the parameter space.- 9. The classification for tori.- 10. Covering projective representations.- 11. without 12. Cartan subgroups.- 13. Pairings between subgroups proof of Theorem 10.4.- 14. Proof Propositions 13.6 13.8.- 15. Multiplicity formulas 16. translation principle, Kazhdan-Lusztig algorithm, 1.24.- 17. Theorems 16.22 16.24.- 18. Strongly stable characters 1.29.- 19. Characteristic cycles, micro-packets, Corollary 1.32.- 20. cycles Harish-Chandra modules.- 21. theorem modules dual group.- 22. Arthur 23. Local geometry constructible 24. Microlocal 25. A fixed point formula.- 26. Endoscopic lifting.- 27. Special unipotent References.