Jean-Pierre Serre Book order

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.

Focusing on local class field theory, this book explores the subject from a cohomological perspective, building on the methodologies of Hochschild and Artin-Tate. It delves into extensions of local fields, particularly abelian ones, and is structured into four parts. The initial sections cover foundational concepts of discrete valuation rings and Dedekind domains, followed by an examination of ramification phenomena. The text emphasizes the norm map within this framework, using additive and multiplicative polynomials for clarity, while maintaining accessibility for readers familiar with basic algebra and topology.

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 It includes both articles and summaries of his unpublished courses, alongside letters that hint at proofs for announced results.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.

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.

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...

The main general theorems on Lie Algebras are covered, roughly the content of Bourbaki's Chapter I. I have added some results on free Lie algebras, which are useful, both for Lie's theory itself (Campbell-Hausdorff formula) and for applications to pro-Jrgroups. of time prevented me from including the more precise theory of Lack semisimple Lie algebras (roots, weights, etc.); but, at least, I have given, as a last Chapter, the typical case ofal,.. This part has been written with the help of F.Raggi and J.Tate. I want to thank them, and also Sue Golan, who did the typing for both parts. Jean-Pierre Serre Harvard, Fall 1964 Chapter I. Lie Definition and Examples Let Ie be a commutativering with unit element, and let A be a k-module, then A is said to be a Ie-algebra if there is given a k-bilinear map A x A~ A (i.e., a k-homomorphism A0" A -+ A). As usual we may define left, right and two-sided ideals and therefore quo­ tients. Definition 1. A Lie algebra over Ie isan algebrawith the following 1). The map A0i A -+ A admits a factorization A ®i A -+ A2A -+ A i.e., ifwe denote the imageof(x,y) under this map by [x,y) then the condition becomes for all x e k. [x,x)=0 2). (lx,II], z]+ny, z), x) + ([z,xl, til = 0 (Jacobi's identity) The condition 1) implies [x,1/]=-[1/,x).