The Séminaire Nicolas Bourbaki (Bourbaki Seminar) is a series of

seminar A seminar is a form of academic instruction, either at an academic institution or offered by a commercial or professional organization. It has the function of bringing together small groups for recurring meetings, focusing each time on some parti ...

s (in fact public lectures with printed notes distributed) that has been held in Paris since 1948. It is one of the major institutions of contemporary mathematics, and a barometer of mathematical achievement, fashion, and reputation. It is named after

Nicolas Bourbaki Nicolas Bourbaki () is the collective pseudonym of a group of mathematicians, predominantly French alumni of the École normale supérieure (Paris), École normale supérieure - PSL (ENS). Founded in 1934–1935, the Bourbaki group originally in ...

, a group of French and other mathematicians of variable membership. The Poincaré Seminars are a series of talks on physics inspired by the Bourbaki seminars on mathematics.

1948/49 series

Henri Cartan Henri Paul Cartan (; 8 July 1904 – 13 August 2008) was a French mathematician who made substantial contributions to algebraic topology. He was the son of the mathematician Élie Cartan, nephew of mathematician Anna Cartan, oldest brother of co ...

, Les travaux de Koszul, I (

Lie algebra cohomology In mathematics, Lie algebra cohomology is a cohomology theory for Lie algebras. It was first introduced in 1929 by Élie Cartan to study the topology of Lie groups and homogeneous spaces by relating cohomological methods of Georges de Rham to prope ...

) #

Claude Chabauty Claude Chabauty (born May 4, 1910 in Oran, died June 2, 1990 in Dieulefit) was a French mathematician. Career He was admitted in 1929 to the École normale supérieure (Paris), École normale supérieure in Paris. In 1938 he obtained his docto ...

, Le théorème de Minkowski-Hlawka ( Minkowski-Hlawka theorem) #

Claude Chevalley Claude Chevalley (; 11 February 1909 – 28 June 1984) was a French mathematician who made important contributions to number theory, algebraic geometry, class field theory, finite group theory and the theory of algebraic groups. He was a foundin ...

, L'hypothèse de Riemann pour les corps de fonctions algébriques de caractéristique p, I, d'après Weil (

local zeta-function In number theory, the local zeta function (sometimes called the congruent zeta function or the Hasse–Weil zeta function) is defined as :Z(V, s) = \exp\left(\sum_^\infty \frac (q^)^m\right) where is a non-singular -dimensional projective algebr ...

) #

Roger Godement Roger Godement (; 1 October 1921 – 21 July 2016) was a French mathematician, known for his work in functional analysis as well as his expository books. Biography Godement started as a student at the École normale supérieure in 1940, where he ...

, Groupe complexe unimodulaire, I : Les représentations unitaires irréductibles du groupe complexe unimodulaire, d'après Gelfand et Neumark (

representation theory Representation theory is a branch of mathematics that studies abstract algebraic structures by ''representing'' their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures. In essen ...

of the complex

special linear group In mathematics, the special linear group of degree ''n'' over a field ''F'' is the set of matrices with determinant 1, with the group operations of ordinary matrix multiplication and matrix inversion. This is the normal subgroup of the genera ...

) # Léo Kaloujnine, Sur la structure de p-groupes de Sylow des groupes symétriques finis et de quelques généralisations infinies de ces groupes (

Sylow theorems In mathematics, specifically in the field of finite group theory, the Sylow theorems are a collection of theorems named after the Norwegian mathematician Peter Ludwig Sylow that give detailed information about the number of subgroups of fixed ...

symmetric group In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions. In particular, the finite symmetric group \m ...

infinite group theory In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as g ...

) #

Pierre Samuel Pierre Samuel (12 September 1921 – 23 August 2009) was a French mathematician, known for his work in commutative algebra and its applications to algebraic geometry. The two-volume work ''Commutative Algebra'' that he wrote with Oscar Zariski ...

, (

birational geometry In mathematics, birational geometry is a field of algebraic geometry in which the goal is to determine when two algebraic varieties are isomorphic outside lower-dimensional subsets. This amounts to studying mappings that are given by rational fu ...

) # Jean Braconnier, Sur les suites de composition d'un groupe et la tour des groupes d'automorphismes d'un groupe fini, d'après H. Wielandt (

finite group Finite is the opposite of infinite. It may refer to: * Finite number (disambiguation) * Finite set, a set whose cardinality (number of elements) is some natural number * Finite verb, a verb form that has a subject, usually being inflected or marked ...

s) # Henri Cartan, Les travaux de Koszul, II (see 1) # Claude Chevalley, L'hypothèse de Riemann pour les groupes de fonctions algébriques de caractéristique p, II, d'après Weil (see 3) #

Luc Gauthier Joseph Marcel Luc Gauthier (born April 19, 1964) is a Canadian professional ice hockey scout and former player. He was born in Longueuil, Quebec. As a youth, he played in the 1975 and 1977 Quebec International Pee-Wee Hockey Tournaments with a min ...

, (see 6) #

Laurent Schwartz Laurent-Moïse Schwartz (; 5 March 1915 – 4 July 2002) was a French mathematician. He pioneered the theory of distributions, which gives a well-defined meaning to objects such as the Dirac delta function. He was awarded the Fields Medal in 19 ...

, Sur un mémoire de Petrowsky : "Über das Cauchysche Problem für ein System linearer partieller Differentialgleichungen im gebiete nichtanalytischen Funktionen" (

partial differential equation In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a Multivariable calculus, multivariable function. The function is often thought of as an "unknown" to be sol ...

s) # Henri Cartan, Les travaux de Koszul, III (see 1) # Roger Godement, Groupe complexe unimodulaire, II : La transformation de Fourier dans le groupe complexe unimodulaire à deux variables, d'après Gelfand et Neumark (see 4) #

Marc Krasner Marc Krasner (1912 – 13 May 1985, in Paris) was a Russian Empire-born French mathematician, who worked on algebraic number theory. Krasner emigrated from the Soviet Union to France and received in 1935 his PhD from the University of Paris under ...

, Les travaux récents de R. Brauer en théorie des groupes (

s) # Laurent Schwartz, Sur un deuxième mémoire de Petrowsky : "Über das Cauchysche Problem für System von partiellen Differentialgleichungen" (see 11) #

André Weil André Weil (; ; 6 May 1906 – 6 August 1998) was a French mathematician, known for his foundational work in number theory and algebraic geometry. He was a founding member and the ''de facto'' early leader of the mathematical Bourbaki group. Th ...

, Théorèmes fondamentaux de la théorie des fonctions thêta, d'après des mémoires de Poincaré et Frobenius (

theta function In mathematics, theta functions are special functions of several complex variables. They show up in many topics, including Abelian varieties, moduli spaces, quadratic forms, and solitons. As Grassmann algebras, they appear in quantum field theo ...

1949/50 series

For later years see: *

Séminaire Nicolas Bourbaki (1950–1959) Continuation of the Séminaire Nicolas Bourbaki programme, for the 1950s. 1950/51 series 1951/52 1952/53 1953/54 1954/55 1955/56 1956/57 1957/58 1958/59 1959/60 External linksSource list {{DEFAULTSORT:Seminaire Nicolas Bourba ...

Séminaire Nicolas Bourbaki (1960–1969) Continuation of the Séminaire Nicolas Bourbaki programme, for the 1960s. 1960/61 series 1961/62 1962–63 1963–64 1964–65 External linksSource list {{DEFAULTSORT:Seminaire Nicolas Bourbaki (1960-1969) * ...

* Séminaire Nicolas Bourbaki (1970–1979) * Séminaire Nicolas Bourbaki (1980–1989) * Séminaire Nicolas Bourbaki (1990–1999)

Publishers

The proceedings of the Séminaire have been published by four different publishers over the years. 1948/49 through 1964/65 were published as Textes des conférences / Séminaire Bourbaki by the Secrétariat Mathématique, Université Paris. In 1966, W. A. Benjamin, Inc. issued a special twelve-volume facsimile reproduction of the Séminaire Bourbaki, 1948-1965. W. A. Benjamin, Inc. continued to publish the proceedings for three more years, 1965/66 through 1967/68. Springer-Verlag published 1968/69 through 1980/81 as part of its Lecture Notes in Mathematics series. 1981/82 to date are published by the Société Mathématique de France as part of Astérisque.

References

External links

Copies of the Séminaire papers"L'Association des Collaborateurs de Nicolas Bourbaki"
The pdf file of seminar number (say) 984 is available a
https://web.archive.org/web/20110609193039/http://www.bourbaki.ens.fr/TEXTES/984.pdf
* {{DEFAULTSORT:Seminaire Nicolas Bourbaki * French mathematical seminars