Cours de Jean-Pierre Serre

Jean-Pierre Serre lecture’s notes are part of the collections at the Library of the Henri Poincaré Institute (IHP). These notes were written by different people who attended lectures given at Collège de France or in other universities, mainly abroad. The lectures are targeted towards researchers and cover various themes of arithmetic, broadly speaking. Jean-Pierre Serre checked the accuracy of the lecture notes himself and donated them to IHP in 2015.

They were digitized by the librarians of IHP, at the request of Jean-Pierre Serre and with the agreement of the people who transcribed the notes. On some lecture notes, pages are missing and text seems to be missing around the edges of certain pages. There may also be breaks or duplicates in the numbering without any text missing. Finally, some lecture notes have two styles of numbering. All these specificities conform to the physical copies held by the Library of the Henri Poincaré Institute. In case a page is missing, you will find the indication: "The page xxx is missing in the original document".

Moursund Lectures Lecture at the University of Oregon Mathematics Department - 1998 (1998)

Quelques exemples d’invariants cohomologiques Collège de France - Cours 1993-1994 (1993-1994)

Représentations linéaires sur des anneaux locaux, d'après Carayol Exposé de Jean-Pierre Serre, le 8 octobre 1993 (1993)

Corps de fonctions et cohomologie galoisienne Cours 1991-1992 (1991-1992)

Quelques problèmes de cohomologie galoisienne Collège de France, janvier-avril 1991 (1991)

Topics in Galois cohomology Lecture at Harvard - 1990 (1990)

Problèmes Galoisiens (suite) Cours 1989-1990 (1989-1990)

Problèmes Galoisiens – I Cours au Collège de France (janvier-mars 1989) (1989)

Formes modulaires (mod p ) Cours au Collège de France - 1987-1988 (1988)

Groupes linéaires modulo p et Points d’ordre fini des variétés abéliennes Cours au Collège de France, janvier-mars 1986 (1986)

Rational Points on Curves over Finite Fields Part I : « q large » - Part II :  « g large » Lectures given at Harvard University, September to December 1985 (1985)

Groupes de Galois et représentations -adiques Collège de France 1984 (1984)

Nombre de classes, formules de masse, nombres de Tamagawa Collège de France - Cours 1981-1982 (1981-1982)

Tamagawa II Cours au Collège de France - Octobre-Décembre 1982 (1982)

Tamagawa I Cours au Collège de France - Janvier-Mars 1982 (1982)

Adeles and Tamagawa numbers Lecture at Harvard - 1981 (1981)