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Introduction 1
Chapter 1 Overview 7
Chapter 2 Convolution of Perverse Sheaves 19
Chapter 3 Fibre Functors 21
Chapter 4 The Situation over a Finite Field 25
Chapter 5 Frobenius Conjugacy Classes 31
Chapter 6 Group-Theoretic Facts about Ggeom and Garith 33
Chapter 7 The Main Theorem 39
Chapter 8 Isogenies, Connectedness, and Lie-Irreducibility 45
Chapter 9 Autodualities and Signs 49
Chapter 10 A First Construction of Autodual Objects 53
Chapter 11 A Second Construction of Autodual Objects 55
Chapter 12 The Previous Construction in the Nonsplit Case 61
Chapter 13 Results of Goursat-Kolchin-Ribet Type 63
Chapter 14 The Case of SL(2); the Examples of Evans and Rudnick 67
Chapter 15 Further SL(2) Examples, Based on the Legendre Family 73
Chapter 16 Frobenius Tori and Weights; Getting Elements of Garith 77
Chapter 17 GL(n) Examples 81
Chapter 18 Symplectic Examples 89
Chapter 19 Orthogonal Examples, Especially SO(n) Examples 103
Chapter 20 GL(n) × GL(n) × ... × GL(n) Examples 113
Chapter 21 SL(n) Examples, for n an Odd Prime 125
Chapter 22 SL(n) Examples with Slightly Composite n 135
Chapter 23 Other SL(n) Examples 141
Chapter 24 An O(2n) Example 145
Chapter 25 G2 Examples: the Overall Strategy 147
Chapter 26 G2 Examples: Construction in Characteristic Two 155
Chapter 27 G2 Examples: Construction in Odd Characteristic 163
Chapter 28 The Situation over Z: Results 173
Chapter 29 The Situation over Z: Questions 181
Chapter 30 Appendix: Deligne's Fibre Functor 187
Bibliography 193
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Add Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180), Convolution and Equidistribution explores an important aspect of number theory--the theory of exponential sums over finite fields and their Mellin transforms--from a new, categorical point of view. The book presents fundamentally important results , Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180) to the inventory that you are selling on WonderClubX
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Add Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180), Convolution and Equidistribution explores an important aspect of number theory--the theory of exponential sums over finite fields and their Mellin transforms--from a new, categorical point of view. The book presents fundamentally important results , Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180) to your collection on WonderClub |