Summer School on Serre's Modularity Conjecture

Luminy, July 9-20, 2007

Centre International de Rencontres Mathématiques

This summer school is addressed to confirmed researchers as well as to younger colleagues with a good background in arithmetic geometry. Its principal objective is to present a proof of Serre's conjecture on the modularity of irreducible odd representations of the absolute Galois group GQ of the field of rational numbers on two-dimensional vector spaces over finite fields.

We plan to offer a course on the recent proof of the conjecture due to Khare and Wintenberger. We are also planning courses on the following subjects, which are essential ingredients in the proof:

If time permits, there will be additional lectures, possible on the modularity of two-dimensional irreducible geometric l-adic representations of GQ. The subject is in a state of flux and a more detailed program will be provided at a later date.

List of participants

Organization's committee


Practical informations :

Centre International de Rencontres Mathématiques

The school will be held at Centre International de Rencontres Mathématiques. Participants will have the use of resources at CIRM, such that the library and the computing facilities. will be housed at the CIRM and the other half in some recently renovated rooms at a student dormitory close to the CIRM. All meals will be served at CIRM. The first meal served at CIRM shall be the dinner of Sunday July 8 (buffet froid) and the last one the dinner of Friday July 20. There will be no lunch and no dinner on Saturday 14 and no lunch on Sunday 15 (it should be possible to get a lunch box for Saturday's lunch. During the week-end, reasonably priced meals are available on Luminy's campus).


We hope not to require a registration fee. We expect founding notably from the CIRM (via the CNRS, the SMF and some local institutions), from the ANR and from the Clay Mathematical Institute. We hope to be able to cover the living expenses of a substantial number of participants, but all of those who have the possibility to find their own founding are highly encouraged to do so. We expect most of the participants to cover their own travel expenses, but those who may have serious difficulties should let us know. In a limited number of cases, we should be able to cover, at least partly, some travel expenses. This summer school is an official activity of the Research Training Network "Arithmetic Algebraic Geometry" of the European Community. The members of this network are requested to ask their node coordinator to take care of their living and travel expenses.

You may download the poster of the Summer School .

Registration is now closed.

Sponsors :
  • Agence Nationale de la Recherche
  • Centre National de la Recherche Scientifique
  • Clay Mathematics Institute
  • Réseau européen "Arithmetic Algebraic Geometry"
  • Institut Universitaire de France
  • Fondation Hugot du Collège de France
  • Université de Paris XI
  • Ecole Polytechnique - Palaiseau
  • Japan Society for the Promotion of Science
  • C.I.R.M