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ISBN 978-0-387-94609-2
Localisation : Colloque 1er étage (BOST)
algèbre de Hecke # anneau de déformation universelle # cohomologie galoisienne # conjecture de Serre # correspondance de Hecke # courbe elliptique # courbe modulaire # grand théorème de Fermat # intersection complète # représentation galoisienne # schéma en groupe # théorème de Wiles
11-03 ; 11D41 ; 11G18 ; 14Hxx
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Research talks;Number Theory
The assertions made by L. J. Mordell in his paper in Acta Mathematica 44(1952) are discussed. Mordell had been to a certain extent anticipated by E. Jacobsthal (1939).
backward induction - congruence - equation - non-zero coefficients - polynomials
11D09 ; 11D25 ; 11D41
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Research schools;Combinatorics;Dynamical Systems and Ordinary Differential Equations
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.
* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of this result. Third principle: The sought-after configurations which are always to be found in large sets are abundant.
* Furstenberg's Dynamical approach :
Partition Ramsey theory and topological dynamics Dynamical versions of van der Waerden's theorem, Hindman's theorem and Graham-Rothschild-Spencer's geometric Ramsey.
Density Ramsey theory and Furstenberg's correspondence principle Furstenberg's correspondence principle. Ergodic Szemeredi's theorem. Polynomial Szemeredi theorem. Density version of the Hales-Jewett theorem.
* Stone-Cech compactifications and Hindman's theorem :
Topological algebra in Stone-Cech compactifications. Proof of Hind-man's theorem via Poincare recurrence theorem for ultrafilters.
* IP sets and ergodic Ramsey theory :
Applications of IP sets and idempotent ultrafilters to ergodic-theoretical multiple recurrence and to density Ramsey theory. IP-polynomial Szemeredi theorem.
* Open problems and conjectures
If time permits:
* The nilpotent connection,
* Ergodic Ramsey theory and amenable groups
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.
* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of ...
05D10 ; 37Axx ; 12D10 ; 11D41 ; 54D80 ; 37B20
... Lire [+]
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
Research schools;Combinatorics;Dynamical Systems and Ordinary Differential Equations
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.
* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of this result. Third principle: The sought-after configurations which are always to be found in large sets are abundant.
* Furstenberg's Dynamical approach :
Partition Ramsey theory and topological dynamics Dynamical versions of van der Waerden's theorem, Hindman's theorem and Graham-Rothschild-Spencer's geometric Ramsey.
Density Ramsey theory and Furstenberg's correspondence principle Furstenberg's correspondence principle. Ergodic Szemeredi's theorem. Polynomial Szemeredi theorem. Density version of the Hales-Jewett theorem.
* Stone-Cech compactifications and Hindman's theorem :
Topological algebra in Stone-Cech compactifications. Proof of Hind-man's theorem via Poincare recurrence theorem for ultrafilters.
* IP sets and ergodic Ramsey theory :
Applications of IP sets and idempotent ultrafilters to ergodic-theoretical multiple recurrence and to density Ramsey theory. IP-polynomial Szemeredi theorem.
* Open problems and conjectures
If time permits:
* The nilpotent connection,
* Ergodic Ramsey theory and amenable groups
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.
* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of ...
05D10 ; 37Axx ; 12D10 ; 11D41 ; 54D80 ; 37B20
... Lire [+]
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
Research schools;Combinatorics;Dynamical Systems and Ordinary Differential Equations
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.
* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of this result. Third principle: The sought-after configurations which are always to be found in large sets are abundant.
* Furstenberg's Dynamical approach :
Partition Ramsey theory and topological dynamics Dynamical versions of van der Waerden's theorem, Hindman's theorem and Graham-Rothschild-Spencer's geometric Ramsey.
Density Ramsey theory and Furstenberg's correspondence principle Furstenberg's correspondence principle. Ergodic Szemeredi's theorem. Polynomial Szemeredi theorem. Density version of the Hales-Jewett theorem.
* Stone-Cech compactifications and Hindman's theorem :
Topological algebra in Stone-Cech compactifications. Proof of Hind-man's theorem via Poincare recurrence theorem for ultrafilters.
* IP sets and ergodic Ramsey theory :
Applications of IP sets and idempotent ultrafilters to ergodic-theoretical multiple recurrence and to density Ramsey theory. IP-polynomial Szemeredi theorem.
* Open problems and conjectures
If time permits:
* The nilpotent connection,
* Ergodic Ramsey theory and amenable groups
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.
* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of ...
05D10 ; 37Axx ; 12D10 ; 11D41 ; 54D80 ; 37B20
... Lire [+]
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
Research schools;Combinatorics;Dynamical Systems and Ordinary Differential Equations
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.
* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of this result. Third principle: The sought-after configurations which are always to be found in large sets are abundant.
* Furstenberg's Dynamical approach :
Partition Ramsey theory and topological dynamics Dynamical versions of van der Waerden's theorem, Hindman's theorem and Graham-Rothschild-Spencer's geometric Ramsey.
Density Ramsey theory and Furstenberg's correspondence principle Furstenberg's correspondence principle. Ergodic Szemeredi's theorem. Polynomial Szemeredi theorem. Density version of the Hales-Jewett theorem.
* Stone-Cech compactifications and Hindman's theorem :
Topological algebra in Stone-Cech compactifications. Proof of Hind-man's theorem via Poincare recurrence theorem for ultrafilters.
* IP sets and ergodic Ramsey theory :
Applications of IP sets and idempotent ultrafilters to ergodic-theoretical multiple recurrence and to density Ramsey theory. IP-polynomial Szemeredi theorem.
* Open problems and conjectures
If time permits:
* The nilpotent connection,
* Ergodic Ramsey theory and amenable groups
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.
* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of ...
05D10 ; 37Axx ; 12D10 ; 11D41 ; 54D80 ; 37B20
... Lire [+]
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
Research schools;Combinatorics;Dynamical Systems and Ordinary Differential Equations
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.
* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of this result. Third principle: The sought-after configurations which are always to be found in large sets are abundant.
* Furstenberg's Dynamical approach :
Partition Ramsey theory and topological dynamics Dynamical versions of van der Waerden's theorem, Hindman's theorem and Graham-Rothschild-Spencer's geometric Ramsey.
Density Ramsey theory and Furstenberg's correspondence principle Furstenberg's correspondence principle. Ergodic Szemeredi's theorem. Polynomial Szemeredi theorem. Density version of the Hales-Jewett theorem.
* Stone-Cech compactifications and Hindman's theorem :
Topological algebra in Stone-Cech compactifications. Proof of Hind-man's theorem via Poincare recurrence theorem for ultrafilters.
* IP sets and ergodic Ramsey theory :
Applications of IP sets and idempotent ultrafilters to ergodic-theoretical multiple recurrence and to density Ramsey theory. IP-polynomial Szemeredi theorem.
* Open problems and conjectures
If time permits:
* The nilpotent connection,
* Ergodic Ramsey theory and amenable groups
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.
* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of ...
05D10 ; 37Axx ; 12D10 ; 11D41 ; 54D80 ; 37B20
... Lire [+]
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
Research schools;Combinatorics;Dynamical Systems and Ordinary Differential Equations
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.
* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of this result. Third principle: The sought-after configurations which are always to be found in large sets are abundant.
* Furstenberg's Dynamical approach :
Partition Ramsey theory and topological dynamics Dynamical versions of van der Waerden's theorem, Hindman's theorem and Graham-Rothschild-Spencer's geometric Ramsey.
Density Ramsey theory and Furstenberg's correspondence principle Furstenberg's correspondence principle. Ergodic Szemeredi's theorem. Polynomial Szemeredi theorem. Density version of the Hales-Jewett theorem.
* Stone-Cech compactifications and Hindman's theorem :
Topological algebra in Stone-Cech compactifications. Proof of Hind-man's theorem via Poincare recurrence theorem for ultrafilters.
* IP sets and ergodic Ramsey theory :
Applications of IP sets and idempotent ultrafilters to ergodic-theoretical multiple recurrence and to density Ramsey theory. IP-polynomial Szemeredi theorem.
* Open problems and conjectures
If time permits:
* The nilpotent connection,
* Ergodic Ramsey theory and amenable groups
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.
* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of ...
05D10 ; 37Axx ; 12D10 ; 11D41 ; 54D80 ; 37B20
... Lire [+]
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
Research schools;Combinatorics;Dynamical Systems and Ordinary Differential Equations
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.
* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of this result. Third principle: The sought-after configurations which are always to be found in large sets are abundant.
* Furstenberg's Dynamical approach :
Partition Ramsey theory and topological dynamics Dynamical versions of van der Waerden's theorem, Hindman's theorem and Graham-Rothschild-Spencer's geometric Ramsey.
Density Ramsey theory and Furstenberg's correspondence principle Furstenberg's correspondence principle. Ergodic Szemeredi's theorem. Polynomial Szemeredi theorem. Density version of the Hales-Jewett theorem.
* Stone-Cech compactifications and Hindman's theorem :
Topological algebra in Stone-Cech compactifications. Proof of Hind-man's theorem via Poincare recurrence theorem for ultrafilters.
* IP sets and ergodic Ramsey theory :
Applications of IP sets and idempotent ultrafilters to ergodic-theoretical multiple recurrence and to density Ramsey theory. IP-polynomial Szemeredi theorem.
* Open problems and conjectures
If time permits:
* The nilpotent connection,
* Ergodic Ramsey theory and amenable groups
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.
* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of ...
05D10 ; 37Axx ; 12D10 ; 11D41 ; 54D80 ; 37B20
... Lire [+]
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
Research schools;Combinatorics;Dynamical Systems and Ordinary Differential Equations
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.
* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of this result. Third principle: The sought-after configurations which are always to be found in large sets are abundant.
* Furstenberg's Dynamical approach :
Partition Ramsey theory and topological dynamics Dynamical versions of van der Waerden's theorem, Hindman's theorem and Graham-Rothschild-Spencer's geometric Ramsey.
Density Ramsey theory and Furstenberg's correspondence principle Furstenberg's correspondence principle. Ergodic Szemeredi's theorem. Polynomial Szemeredi theorem. Density version of the Hales-Jewett theorem.
* Stone-Cech compactifications and Hindman's theorem :
Topological algebra in Stone-Cech compactifications. Proof of Hind-man's theorem via Poincare recurrence theorem for ultrafilters.
* IP sets and ergodic Ramsey theory :
Applications of IP sets and idempotent ultrafilters to ergodic-theoretical multiple recurrence and to density Ramsey theory. IP-polynomial Szemeredi theorem.
* Open problems and conjectures
If time permits:
* The nilpotent connection,
* Ergodic Ramsey theory and amenable groups
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.
* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of ...
05D10 ; 37Axx ; 12D10 ; 11D41 ; 54D80 ; 37B20
... Lire [+]
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- 261 p.
ISBN 978-3-540-08489-1
Grundlehren der mathematischen wissenschaften , 0231
Localisation : Collection 1er étage
analyse diophantienne # analyse p-adique # approximation diophantienne # équation diophantienne # inégalité diophantienne # logarithme
10B45 ; 10B99 ; 11D41 ; 11D99 ; 11Dxx
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- 341 p.
Localisation : Ouvrage RdC (LAND);Réserve
conjecture de Fermat # corps quadratique # nombres premiers réguliers # théorie des idéaux # théorie des nombres algébriques # théorème de Furtängler # théorème de Mirimanoff # théorème de Vandiver # théorème de Wieferich
11D41 ; 11R04 ; 11Rxx
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- 267 p.
ISBN 978-3-540-07855-5
Lecture notes in mathematics , 0536
Localisation : Collection 1er étage
analyse diophantienne # théorie des corps # corps modulaire # polynôme sur des corps finis # théorie arithmétique des anneaux de polynôme # équation diophantienne de degré supérieur # corps fini # groupe agélien fini # fonction zeta # fonction L # somme de Kloosterman
12-01 ; 11T06 ; 14G15 ; 11T55 ; 11D41
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- 181 p.
Queen's Papers in Pure and Applied Mathematics , 0093
Localisation : Ouvrage RdC (JHA)
dernier théorème de Fermat # idéal de Stickelberger # nombre de Bernoulli # nombre de classes # somme de Jacobi # théorie de Kummer
11B68 ; 11D41 ; 11R29 ; 11Rxx
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- 152 p.
ISBN 978-0-8218-3124-3
American mathematical society translations series 2 , 0143
Localisation : Collection 1er étage
D-bloc de caractère # calcul de résolution # estimation de polynôme orthogonal # estimation en moyenne # groupe fini # géométrie diophantienne # logique modale # modèle de données et langage de description # obstruction complète au principe de Hasse # principe ergodique pour opérateur stochastique quadratique # problème du diviseur additif
03B45 ; 11D41 ; 11G10 ; 11G35 ; 11P99
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- 177 p.
ISBN 978-2-87647-144-3
Localisation : Ouvrage RdC (NOGU)
17 ème siècle # 18 ème siècle # 19 ème siècle # 1931 # 20 ème siècle # Kummer # Lamé # Legendre # Mirimanoff # histoire # théorème de Fermat # équation diophantienne
01A45 ; 01A55 ; 11-03 ; 11D41 ; 11Dxx
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- 196 p.
ISBN 978-0-8218-2670-6
Localisation : Monographie RdC (MOZZ)
dernier théorème de Fermat # histoire # théorie des nombres # équation de Fermat # équation de degré supérieur # équation diophantine
11D41
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- 77 p.
ISBN 978-90-6196-508-4
CWI tract , 0133
Localisation : Collection 1er étage
équation de Fermat # méthode de Chabauty # courbe elliptique # point rationnel # corps de nombre # restriction arithmétique # courbe hyperbolique # genre different de 1 sur un corps global
11D41 ; 11G30 ; 14G05
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- 652 p.
ISBN 978-0-521-84615-8
New mathematical monographs , 0004
Localisation : Ouvrage RdC (BOMB)
équation diophantienne # géométrie diophantienne # hauteur # théorème de Mordell-Weil # théorème de Roth # théorie de Nevanlinna # variété abélienne
11-01 ; 11D41 ; 11D61 ; 11G50 ; 11J81 ; 11J97 ; 11G05
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- ix; 124 p.
ISBN 978-1-84800-184-8
Universitext
Localisation : Ouvrage RdC (SCHO)
théorie des nombres # équation diophantienne de degré élevé # équation diophantienne exponentielle # extension cyclotomique # conjecture de Catalan # théorie de Galois # méthode de Runge # théorème de Stickelberger # théorème de densité de Chebotarëv # téorème de Thaine # démonstration de Mihailescu
11D41 ; 11D61 ; 11R18
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