Oeuvres 2
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Jean-Pierre Serre fut un mathématicien pionnier dont le travail a profondément marqué la topologie algébrique, la géométrie algébrique et la théorie des nombres. Il excellait dans l'introduction de techniques sophistiquées telles que la théorie des faisceaux et l'algèbre homologique dans de nouveaux domaines mathématiques. Ses premières recherches en topologie et en plusieurs variables complexes ont jeté les bases cruciales pour de futures découvertes. Plus tard, Serre a déplacé son attention vers la théorie des nombres et les représentations de Galois, où ses intuitions continuent d'influencer le domaine.
The impact of J.-P. Serre's work has been profound since his doctoral thesis on homotopy groups. His research and survey papers span a wide range of topics, including topology, complex variables, algebraic geometry, number theory, group theory, commutative algebra, and modular forms, offering inspiration for mathematicians in both research and teaching. His publications often pose open questions that guide future research directions. The four volumes of his Collected Papers include comments and corrections on most articles, detailing the status of these open questions in light of subsequent findings. This softcover edition of volume IV features two newly added articles: one on André Weil's life and works, and another on Finite Subgroups of Lie Groups. This volume encompasses items numbered 133-173, showcasing the essence of Serre's contributions from 1985 to 1998, focusing on number theory, algebraic geometry, and group theory. It contains a mix of articles, unpublished course summaries, and letters, particularly to K. Ribet and M.-F. Vignéras, which hint at proofs of announced results. Additionally, an interview from 1986 reveals Serre's views on mathematics and his own work, while concluding Notes report recent progress and corrections.
Après une première descente dans les arcanes de la criminalité cantalienne, Christian Estève et Jean-Pierre Serre récidivent avec Les Nouvelles Affaires Criminelles du Cantal. Du Consulat à la Ve République, ils font resurgir non seulement la noirceur et la violence d'une société où bâton, poison et fusil servent, bien souvent, à régler tant les problèmes familiaux que ceux du voisinage, mais également la quotidienneté d'une vie de tout un peuple dont la parole ne nous est parvenue que par la voie judiciaire. De la Châtaigneraie, où rôdent encore les ombres des assassins de la châtelaine de Maurs, et la menette de Saint-Constant aux plateaux de l'Artense et du Limon, où cohabitent, parfois difficilement, bêtes et hommes, vachers et propriétaires, en passant par la vallée de la Jordanne, qui résonne des cris de fou d'un jeune parricide autour de Saint-Rémy de Lascelle ou des sanglots du berger infirme dont la défense contre la brutalité d'un maître vacher entraîne le père au bagne, c'est tout un monde de petites gens que misère, étroitesse d'esprit, envie ou haines ancestrales ont conduites devant la justice qui nous apparaît...
1949 - 1959
1972 - 1984
The impact and influence of Jean-Pierre Serre's work have been notable ever since his doctoral thesis on homotopy groups. The abundance of significant results and deep insight contained in his research and survey papers ranging through topology, several complex variables, and algebraic geometry to number theory, group theory, commutative algebra and modular forms, continues to provide inspiring reading for mathematicians working in these areas, in their research and their teaching. Characteristic of Serre's publications are the many open questions he formulated suggesting further research directions. Four volumes specify how he has provided comments on and corrections to most articles, and described the present status of the open questions with reference to later results. Jean-Pierre Serre is one of a few mathematicians to have won the Fields medal, the Abel prize, and the Wolf prize.
1985 - 1998
The impact of J.-P. Serre's work has been significant since his doctoral thesis on homotopy groups. His research spans various fields, including topology, complex variables, algebraic geometry, number theory, group theory, commutative algebra, and modular forms, providing valuable insights for mathematicians in research and teaching. Serre's publications often present open questions that guide future research directions. In the four volumes of his Collected Papers, he includes comments and corrections for most articles, detailing the status of open questions in light of later findings. This softcover edition of volume IV features two new articles: one on André Weil's life and works, and another on Finite Subgroups of Lie Groups. This volume covers Serre's work from 1985-1998, with items numbered 133-173 focusing on number theory, algebraic geometry, and group theory. It includes both articles and summaries of his unpublished courses, alongside letters that hint at proofs for announced results. An interview from 1986 offers insight into Serre's mathematical philosophy, emphasizing integrity and his own research. The volume concludes with Notes that provide updates and corrections to the text.
1960 - 1971
The impact and influence of Jean-Pierre Serre's work have been notable ever since his doctoral thesis on homotopy groups. The abundance of significant results and deep insight contained in his research and survey papers ranging through topology, several complex variables, and algebraic geometry to number theory, group theory, commutative algebra and modular forms, continues to provide inspiring reading for mathematicians working in these areas, in their research and their teaching. Characteristic of Serre's publications are the many open questions he formulated suggesting further research directions. Four volumes specify how he has provided comments on and corrections to most articles, and described the present status of the open questions with reference to later results. Jean-Pierre Serre is one of a few mathematicians to have won the Fields medal, the Abel prize, and the Wolf prize.