Rigid Local Systems and Sporadic Simple Groups

Chapters
1. Introduction
2. Almost quasisimple groups containing elements with simple spectra
3. Preliminary results on condition $\mathrm {({\bf S })}$
4. $G_\mathrm {geom}$ and $G_\mathrm {arith}$
5. Structure of $G_\mathrm {geom}$
6. Rationality, moments, and reduction mod $\ell $ of hypergeometric sheaves
7. Descents of hypergeometric sheaves
8. The notational scheme for descents
9. Proving finiteness of $G_\mathrm {geom}$
10. The alternating group $\mathsf {A}_6$
11. The alternating group $\mathsf {A}_7$
12. The Mathieu group $\mathrm {M}_{11}$
13. The Mathieu group ${\mathrm M}_{22}$
14. The Mathieu group $\mathrm {M}_{23}$
15. The Mathieu group $\mathrm {M}_{24}$
16. The MacLaughlin group $\mathrm {McL}$
17. The Janko group $\mathrm {J}_2$
18. The Janko group $\mathrm {J}_3$
19. The Rudvalis group $\mathrm {Ru}$
20. The special linear group $\mathrm {PSL}_3(4)$
21. The special unitary group $\mathrm {PSU}_4(3)$
22. The symplectic group $\mathrm {Sp}_6(2)$
23. The orthogonal group $\Omega ^ _8(2)$
24. The exceptional group $G_2(3)$
25. The exceptional group $G_2(4)$ and its subgroup $\mathrm {SU}_3(4)$
26. The ""exceptional"" group $\mathrm {SU}_3(3) \cdot 2 \cong G_2(2)$
27. The Suzuki group ${}^2\! B_2(8)$
28. The ""exceptional"" group $\mathrm {SL}_2(8) \cdot 3 \cong {}^2\! G_2(3)$
29. The Conway group $\mathrm {Co}_1$ and the Suzuki group $\mathrm {Suz}$
30. Complex reflection groups
31. Further local systems for $\mathrm {Sp}_6(2)$, $\mathrm {SU}_3(3)$, ${}^2\! G_2(3)$, and $2\mathsf {A}_7$
32. Further multi-parameter local systems