Lectures on the Langlands Program and Conformal Field Theory
نویسنده
چکیده
Part I. The origins of the Langlands Program 9 1. The Langlands correspondence over number fields 9 1.1. Galois group 9 1.2. Abelian class field theory 10 1.3. Frobenius automorphisms 13 1.4. Rigidifying ACFT 14 1.5. Non-abelian generalization? 15 1.6. Automorphic representations of GL2(AQ) and modular forms 18 1.7. Elliptic curves and Galois representations 22 2. From number fields to function fields 24 2.1. Function fields 24 2.2. Galois representations 27 2.3. Automorphic representations 28 2.4. The Langlands correspondence 31
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