Éléments de géométrie algébrique (EGA)

• EGA I. Le langage des schémas
• EGA II. Étude globale élémentaire…
• EGA III (Part I)
• EGA III (Part II)
• EGA IV (Part I)
• EGA IV (Part II)
• EGA IV (Part III)
• EGA IV (Part IV)

Séminaire de géométrie algébrique (SGA)

• SGA 1 (reprint, arXiv)
• SGA 2 (reprint, PDF)
• SGA 3–6 (scan collection)
• SGA 6 (PDF scan)
• SGA 4½ (IAS version)
• SGA 7 II (IAS version)

Weil Conjectures

• Deligne, “La conjecture de Weil II” (Publ. Math. IHÉS 52, 1980)
• Laumon, “Transformation de Fourier… et conjecture de Weil” (IHÉS 65, 1987)

Perverse Sheaves

• Beilinson–Bernstein–Deligne–Gabber, Faisceaux pervers (Astérisque 100, 1982)

Fundamental Group

• SGA 1: Revêtements étales et groupe fondamental (reprint)
• Grothendieck–Murre, The tame fundamental group of a formal neighbourhood… (LNM 208)
• N. Katz, “Local-to-global extensions of representations…” (Duke 1981)

Abelian Varieties

• Edixhoven–van der Geer–Moonen, Abelian Varieties (online book)

Galois Representations

• Fontaine (ICM 1990 notes, hosted on Fargues’s page)
• R. Taylor, “Galois Representations” (ICM 2002)
• L. Fargues, “Motives and automorphic forms: the abelian case” (notes)

Monodromy

• Katz, “Nilpotent connections and the monodromy theorem” (IHÉS 39, 1970)
• SGA 7 II (relevant exposés)

Abhyankar’s Conjectures

• Harbater, “Abhyankar’s conjectures in Galois theory: current status and future directions”
• Harbater, “Abhyankar’s Conjecture and Embedding Problems”
• Serre, “Construction de revêtements étales de la droite affine en caractéristique p”
• Raynaud, “Revêtements de la droite affine en caractéristique p>0…”

Hodge Theory

• Deligne, Théorie de Hodge II
• Deligne, Théorie de Hodge III
• Schmid, “Variation of Hodge Structure: singularities of the period mapping”
• Steenbrink, “Limits of Hodge structure”
• Peters–Steenbrink, Mixed Hodge Structures
• Deligne, Équations différentielles à points singuliers réguliers (LNM 163)
• André–Baldassarri–Cailotto, De Rham Cohomology of Differential Modules…
• André–Baldassarri, “An algebraic proof of Deligne’s regularity criterion”
• Guillén–Navarro Aznar, “Sur le théorème local des cycles invariants”

Gauss–Manin Connection

• Katz–Oda, “On the differentiation of De Rham cohomology classes…” (Kyoto 1968)

Betti Moduli Space

• Simpson, “Moduli of representations of the fundamental group… II” (Publ. Math. IHÉS 80, 1994)

Deligne–Mumford Stack

• Deligne–Mumford, “The irreducibility of the space of curves of given genus” (1969)

Class Field Theory

• Serre, Abelian ℓ-adic Representations and Elliptic Curves
• Katz–Lang, “Finiteness Theorems in Geometric Class Field Theory”

Local Systems

• Esnault, “Some Arithmetic Properties of Complex Local Systems”
• Esnault, “Local Systems in Algebraic–Arithmetic Geometry”
• Katz, Sommes exponentielles (Astérisque 79)

Rigid Local Systems

• Katz, Rigid Local Systems (Princeton)
• C. Li, “Pure Motives and Rigid Local Systems” (lecture notes)

Arithmetic Local Systems

• D. Litt, “Arithmetic representations of fundamental groups I”
• D. Litt, “Arithmetic representations… II: Finiteness”

Nagata’s Compactification

• Brian Conrad, “Deligne’s Notes on Nagata Compactifications”
• W. Lütkebohmert, “On compactification of schemes”

Companion / Weil–Deligne

• Drinfeld, “On a conjecture of Deligne” (companions)
• Deligne, “Les constantes des équations fonctionnelles des fonctions L”

Étale Cohomology of Algebraic Number Fields

• Conrad–Masullo, “Étale cohomology of algebraic number fields”

Profinite Groups / Representation Theory

• Ribes–Zalesskii, Profinite Groups
• T. tom Dieck, Transformation Groups and Representation Theory (LNM 766)
• Serre, Galois Cohomology

Néron Models

• Bosch–Lütkebohmert–Raynaud, Néron Models

Alterations / Slope / Deformation / Vector Bundles / Esquisse

• A. J. de Jong, “Smoothness, semi-stability and alterations”
• Y. André, “Slope filtrations” (notes)
• Goldman–Millson, “Deformation theory of representations…”
• N. Steenrod, The Topology of Fibre Bundles
• Grothendieck, Esquisse d’un programme