Topics Surrounding the Anabelian Geometry of Hyperbolic Curves

§0. Introduction §1. The Tate Conjecture as a Sort of Grothendieck Conjecture §1.1. The Tate Conjecture for non-CM Elliptic Curves §1.2. Some Pro-p Group Theory §2. Hyperbolic Curves as their own “Anabelian Albanese Varieties” §2.1. A Corollary of the Main Theorem of [Mzk2] §2.2. A Partial Generalization to Finite Characteristic §3. Discrete Real Anabelian Geometry §3.1. Real Complex Manifolds §3.2. Fixed Points of Anti-Holomorphic Involutions §3.3. Hyperbolic Curves and their Moduli §3.4. Abelian Varieties and their Moduli §3.5. Profinite Real Anabelian Geometry §4. Complements to the p-adic Theory §4.1. Good Chern Classes §4.2. The Group-Theoreticity of a Certain Chern Class §4.3. A Generalization of the Main Result of [Mzk2]