Attention: The lecture takes place at the ESI (Schrödinger lecture hall) from 15:45 - 16:45

Abstract: We will try to state and explain Serre's conjecture, which is about a relationship between modular forms and certain Galois representations. In 1968 J.-P. Serre proposed the possibility of linking Galois representations to holomorphic modular forms that are eigenforms for Hecke operators. Soon after, P. Deligne succeeded in constructing such Galois representations. Then Serre asked whether there might be a converse to Deligne's construction, and made a conjecture on how to do this - the modularity conjecture. Serre's conjecture can be put into the wider context of the Langlands program.