Description
Book SynopsisDeals with two areas of mathematics, at first sight disjoint, and with some of the analogies and interactions between them. This book discusses results about differential equations and their differential galois groups (G) and one-parameter families of exponential sums and their geometric monodromy groups (G).
Table of Contents*Frontmatter, pg. i*Contents, pg. v*Introduction, pg. 1*CHAPTER 1. Results from Representation Theory, pg. 9*CHAPTER 2. D.E.'s and D-modules, pg. 31*CHAPTER 3. The Generalized Hypergeometric Equation, pg. 92*CHAPTER 4. Detailed Analysis of the Exceptional Cases, pg. 122*CHAPTER 5. Convolution of D-modules, pg. 161*CHAPTER 6. Fourier Transforms of Kummer Pullbacks of Hypergeometrics, pg. 178*CHAPTER 7. The l- adic Theory, pg. 193*CHAPTER 8. l-adic Hypergeometrics, pg. 251*CHAPTER 9. G2 Examples, Fourier Transforms, and Hypergeometrics, pg. 320*CHAPTER 10. l -adic Exceptional Cases, pg. 332*CHAPTER 11. Reductive Tannakian Categories, pg. 352*CHAPTER 12. Fourier Universality, pg. 363*CHAPTER 13. Stratifications and Convolution, pg. 384*CHAPTER 14. The Fundamental Comparison Theorems, pg. 402*References, pg. 425
