Jochen Heinloth --- Some background for the geometric Langlands correspondence

vendredi 27 mars 2026, 15:30 → 16:30 Europe/Paris

Amphithéâtre Hermite (Institut Henri Poincaré)

The Langlands correspondence was originally formulated as a conjectural  link between representations of Galois groups of number fields and  automorphic data. Translating these conjectures into statements for  function fields of curves many of the objects admit natural geometric  interpretations and the geometry then helps to prove results. For  example some expected invariance properties of functions turned into  descent properties of sheaves that sometimes follow from topological  considerations. In this talk we will try to give some background on the  first examples ($GL_1$ and $GL_2$) where this had been observed first by  Deligne and Drinfeld and introduce some of the structures that occur in the more general results.