Chercheurs

Mathématiques / TATE, JOHN TORRENCE

tate[a]

Position

Sid W. Richardson Foundation Regents Chair
Mathematics: Algebraic Number Theory.
Emeritus Professor, Department of Mathematics, University of Texas, US.

Thèmes de recherche

The theory of numbers stretches from the mysteries of prime numbers to the ways in which we store, transmit and secure information in modern computers. Over the past century it has developed into one of the most elaborate and sophisticated branches of mathematics, interacting profoundly with other key areas.

Tate is a prime architect of this development.

His scientific accomplishments span six decades. A wealth of essential mathematical ideas and constructions were initiated by Tate and later named after him, such as the Tate module, Tate curve, Tate cycle, Hodge-Tate decompositions, Tate cohomology, Serre-Tate parameter, Lubin-Tate group, Tate trace, Shafarevich-Tate group and Néron-Tate height, to mention a few.

Prix et récompenses

1956 : American Mathematical Society\'s Cole Prize for outstanding contributions to number theory.
1995 : Leroy P. Steele Prize for Lifetime Achievement from the American Mathematical Society. 2002/03 : Wolf Prize in Mathematics for his creation of fundamental concepts in algebraic number theory.
2010 Abel Prize for his vast and lasting impact on the theory of numbers.

He was elected to the National Academy of Sciences in 1969, named a foreign member of the French Académie des sciences in 1992 and an honorary member of the London Mathematical Society in 1999.

Publications

* Tate, John (1950), Fourier analysis in number fields and Hecke\'s zeta functions , Princeton University Ph.D. thesis under Emil Artin. Reprinted in Cassels, J. W. S.; Fröhlich, Albrecht, eds. (1967), Algebraic number theory, London: Academic Press, pp. 305–347, MR0215665
* Tate, John (1952), \" The higher dimensional cohomology groups of class field theory \", Annals of Mathematics 56 : 294-297, MR 0049950.
* Lang, Serge; Tate, John (1958), \"Principal homogeneous spaces over abelian varieties\", American Journal of Mathematics 80: 659–684, MR0106226
* Tate, John (1963), \" Algebraic cycles and poles of zeta functions\", in Arithmetical Algebraic Geometry, Harper and Row: 93-110, MR0225778.
* Lubin, Jonathan; Tate, John (1965), \"Formal complex multiplication in local fields\", Annals of Mathematics 81: 380–387, MR0172878
* Tate, John (1966), \"Endomorphisms of abelian varieties over finite fields\", Inventiones Mathematicae 2: 134–144, MR0206004
* Tate, John (1967), \"p-divisible groups\", in Springer, T. A., Proceedings of a Conference on Local Fields, Springer-Verlag, pp. 158–183, MR0231827
* Artin, Emil; Tate, John (2009) [1967], Class field theory, AMS Chelsea Publishing, ISBN 978-0-821-84426-7, MR2467155
* Serre, Jean-Pierre; Tate, John (1968), \"Good reduction of abelian varieties\", Annals of Mathematics 88: 462–517, MR0236190
* Tate, John (1971), \"Rigid analytic spaces\", Inventiones mathematicae 12: 257–289, MR0306196
* Tate, John (1976), \"Relations between K2 and Galois cohomology\", Inventiones mathematicae 36: 257–274, MR0429837
* Tate, John (1984), \" Les conjectures de Stark sur les fonctions L d\'Artin en s=0 \", Progress in Math. 47, Birkhäuser Boston, MR0782485.