1 Table of Contents: “... Hodge cohomology, Hodge and Tate conjectures and Abel-Jacobi maps -- 9 Mixed realizations, mixed motives...”

2 Table of Contents: “... and Hodge and Tate conjectures for singular varieties -- 9.1 Tate Modules -- 9.2 Mixed Realizations -- 9.3...”

3 Table of Contents: “... numbers -- Chapter 11. Probabilistic number theory -- Chapter 12. The Sato-Tate conjecture...”

4 Table of Contents: “... for Zero-Cycles -- 16 Tate Conjecture, Abelian Varieties and K3 Surfaces -- Bibliography -- Index...”

5 “..., and tensor categories. One thus arrives at generalizations to arbitrary varieties of the Hodge and Tate...”

6 Table of Contents: “.... The Galois Action on the Set of Components -- XI. The Tate Conjectures for Hilbert Modular Surfaces -- 1...”

7 Table of Contents: “...) -- The Distribution of Self-Fibonacci Divisors (F. Luca, E. Tron).Some Remarks on Automorphy and the Sato-Tate...”

8 Table of Contents: “... -- § 1 Introduction -- § 2 Preliminaries -- § 3 The Tate-conjecture -- § 4 The Shafarevich-conjecture...”

9 Table of Contents: “...Invited papers -- Putting the Hodge and Tate Conjectures to the Test -- Curves of Genus 3 with a...”

10 Table of Contents: “... to Mordell -- § 1 Introduction -- § 2 Preliminaries -- § 3 The Tate conjecture.-§ 4 The Shafarevich...”

11 Table of Contents: “.... The Geometric Fermat Equation -- 10.2.Geometric Deligne Reciprocity and Solitons -- 10.3. The Tate Conjecture...”

12 “... technical result and is applied to prove the Tate conjecture for a class of elliptic surfaces over finite...”

13 “..., with special focus on the Tate conjecture and the Lichtenbaum-Milne formula for the central value of the L...”

14 “... with the basics and guides the reader to recent breakthroughs, such as the proof of the Tate conjecture for K3...”

15 “...'s connectivity theorem, Beilinson's Hodge and Tate conjecture for open complete intersections. As the lectures...”

16 “... breakthroughs on the Tate conjecture, the study of stability conditions and derived categories, and links...”