1. Introduction  
2. Atiyah and Singer  
3. The Gysin map  
4. The tangent groupoid  
5. K-homology  
6. Elliptic families  
7. The adiabatic groupoid  
8. Foliations  
9. The Baum-Connes conjecture  
10. Cohomological index formulas and local index theory  
11. Cyclic complexes  
12. The longitudinal index formula in cyclic theory  
15. Locality and spectral invariants  
17. Dimension Spectrum  
18. The local index formula in the odd case  
19. Renormalization  
20. The even case