Geometric Class Field Theory

Abstract

In this paper we prove global class field theory using a purely geometric result. We first write in detail Deligne's proof to the unramified case of class field theory, including defining the required objects for the proof. Then we generalize the notions appearing in the proof to prove also the tamely ramified case relying on the unramified one.

Master thesis, 42 pages

References in corpus (2)

• Revêtements étales et groupe fondamental (SGA 1)
• Travaux de Frenkel, Gaitsgory et Vilonen sur la correspondance de Drinfeld-Langlands