A Langlands stack (under construction)

Leisure readings

Vergne  All what I wanted to know about Langlands program and was afraid to ask

Gelbart  An elementary introduction to the Langlands program

Frenkel  Recent Advances in the Langlands Program

I.Papers & Books

0.Tools

Gaitsgory  Geometric representation theory

Kac   Infinite dimensional Lie algebras

Frenkel, Ben-Zvi  Vertex algebras and algebraic curves

Beilinson, Drinfel’d   Chiral algebras

Arthur  An introduction to the trace formula

1.Langlands Program for number fields

1.1 Local Langlands for and

1.2 Local Langlands for p-adic fields

Harris, Taylor  The geometry and cohomology of some simple Shimura varieties

Henniart  Une preuve simple des conjectures de Langlands pour GL(n) sur un corps p-adique

1.3 Fundamental Lemma

Waldspurger  Endoscopie et changement de caractéristique

Ngô  Fibration de Hitchin et endoscopie

Laumon, Ngô  Le lemme fondamental pour les groupes unitaires

Waldspurger  L’endoscopie tordue n’est pas si tordue

Ngô  Le lemme fondamental pour les algèbres de Lie

2.Langlands Program for function fields

Drinfel’d  Elliptic modules I,II

Laumon  Cohomology of Drinfeld modular varieties I,II

Lafforgue  Chtoucas de Drinfeld et applications

Lafforgue  Chtoucas de Drinfeld, formule des traces d’Arthur-Selberg et correspondance de Langlands

3.Geometric Langlands Program

Witten  Quantum field theory, Grassmannians and algebraic curves

Kapustin, Witten  Electric-Magnetic Duality And The Geometric Langlands Program

Frenkel, Gaitsgory, Vilonen  On the geometric Langlands conjecture

Frenkel  Lectures on the Langlands Program and Conformal Field Theory

II.On-line Resources

The Work of Robert Langlands: the official on-line archive for Robert Langlands’ work

Northwestern Geometric Langlands Program maintained by Vilonen, Frenkel, Gaitsgory and Goresky

Chicago Geometric Langlands Seminar

GRASP run by David Ben-Zvi

Homepage of Edward Frenkel

Homepage of Dennis Gaitsgory

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