Szamuely, Tamás
Overview
Works:  7 works in 53 publications in 2 languages and 1,041 library holdings 

Genres:  Conference papers and proceedings History 
Roles:  Author, Editor 
Publication Timeline
.
Most widely held works by
Tamás Szamuely
Galois groups and fundamental groups by
Tamás Szamuely(
Book
)
16 editions published between 2009 and 2012 in English and held by 379 WorldCat member libraries worldwide
This book presents the connection between Galois groups in algebra and fundamental groups in topology. Starting at an elementary level, it shows how the judicious use of algebraic geometry gives access to the powerful interplay between algebra and topology that underpins much modern research in geometry and number theory
16 editions published between 2009 and 2012 in English and held by 379 WorldCat member libraries worldwide
This book presents the connection between Galois groups in algebra and fundamental groups in topology. Starting at an elementary level, it shows how the judicious use of algebraic geometry gives access to the powerful interplay between algebra and topology that underpins much modern research in geometry and number theory
Central simple algebras and Galois cohomology by
Philippe Gille(
Book
)
14 editions published in 2006 in English and held by 330 WorldCat member libraries worldwide
This book is the first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields. Starting from the basics, it reaches such advanced results as the MerkurjevSuslin theorem. This theorem is both the culmination of work initiated by Brauer, Noether, Hasse and Albert and the starting point of current research in motivic cohomology theory by Voevodsky, Suslin, Rost and others. Assuming only a solid background in algebra, but no homological algebra, the book covers the basic theory of central simple algebras, methods of Galois descent and Galois cohomology, SeveriBrauer varieties, residue maps and, finally, Milnor Ktheory and Kcohomology. The last chapter rounds off the theory by presenting the results in positive characteristic, including the theorem of BlochGabberKato
14 editions published in 2006 in English and held by 330 WorldCat member libraries worldwide
This book is the first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields. Starting from the basics, it reaches such advanced results as the MerkurjevSuslin theorem. This theorem is both the culmination of work initiated by Brauer, Noether, Hasse and Albert and the starting point of current research in motivic cohomology theory by Voevodsky, Suslin, Rost and others. Assuming only a solid background in algebra, but no homological algebra, the book covers the basic theory of central simple algebras, methods of Galois descent and Galois cohomology, SeveriBrauer varieties, residue maps and, finally, Milnor Ktheory and Kcohomology. The last chapter rounds off the theory by presenting the results in positive characteristic, including the theorem of BlochGabberKato
Higher dimensional varieties and rational points by
K Böröczky(
Book
)
11 editions published between 2003 and 2010 in English and held by 199 WorldCat member libraries worldwide
"Exploring the connections between arithmetic and geometric properties of algebraic varieties has been the object of much fruitful study for a long time, especially in the case of curves. The aim of the Summer School and Conference on 'Higher Dimensional Varieties and Rational Points' held in Budapest, Hungary during September 2001 was to bring together students and experts from the arithmetic and geometric sides of algebraic geometry in order to get a better understanding of the current problems, interactions and advances in higher dimension. The lecture series and conference lectures assembled in this volume give a comprehensive introduction to students and researchers in algebraic geometry and in related fields to the main ideas of this rapidly developing area."Page 4 of cover
11 editions published between 2003 and 2010 in English and held by 199 WorldCat member libraries worldwide
"Exploring the connections between arithmetic and geometric properties of algebraic varieties has been the object of much fruitful study for a long time, especially in the case of curves. The aim of the Summer School and Conference on 'Higher Dimensional Varieties and Rational Points' held in Budapest, Hungary during September 2001 was to bring together students and experts from the arithmetic and geometric sides of algebraic geometry in order to get a better understanding of the current problems, interactions and advances in higher dimension. The lecture series and conference lectures assembled in this volume give a comprehensive introduction to students and researchers in algebraic geometry and in related fields to the main ideas of this rapidly developing area."Page 4 of cover
Central simple algebras and Galois cohomology by
Philippe Gille(
Book
)
7 editions published in 2017 in English and held by 127 WorldCat member libraries worldwide
The first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields, this book starts from the basics and reaches such advanced results as the MerkurjevSuslin theorem, a culmination of work initiated by Brauer, Noether, Hasse and Albert, and the starting point of current research in motivic cohomology theory by Voevodsky, Suslin, Rost and others. Assuming only a solid background in algebra, the text covers the basic theory of central simple algebras, methods of Galois descent and Galois cohomology, SeveriBrauer varieties, and techniques in Milnor Ktheory and Kcohomology, leading to a full proof of the MerkurjevSuslin theorem and its application to the characterization of reduced norms. The final chapter rounds off the theory by presenting the results in positive characteristic, including the theorems of BlochGabberKato and Izhboldin. This second edition has been carefully revised and updated, and contains important additional topics
7 editions published in 2017 in English and held by 127 WorldCat member libraries worldwide
The first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields, this book starts from the basics and reaches such advanced results as the MerkurjevSuslin theorem, a culmination of work initiated by Brauer, Noether, Hasse and Albert, and the starting point of current research in motivic cohomology theory by Voevodsky, Suslin, Rost and others. Assuming only a solid background in algebra, the text covers the basic theory of central simple algebras, methods of Galois descent and Galois cohomology, SeveriBrauer varieties, and techniques in Milnor Ktheory and Kcohomology, leading to a full proof of the MerkurjevSuslin theorem and its application to the characterization of reduced norms. The final chapter rounds off the theory by presenting the results in positive characteristic, including the theorems of BlochGabberKato and Izhboldin. This second edition has been carefully revised and updated, and contains important additional topics
SUR LA THEORIE DES CORPS DE CLASSES POUR LES VARIETES SUR LES CORPS PADIQUES by
Tamás Szamuely(
Book
)
2 editions published in 1998 in French and held by 4 WorldCat member libraries worldwide
SOIT X UNE VARIETE PROPRE, LISSE, GEOMETIQUEMENT INTEGRE DEFINIE SUR UN CORPS PADIQUE K. DANS CETTE THESE, NOUS ETUDIONS LE NOYAU DE L'APPLICATION DE RECIPROCITE X : SK 1(X) A B 1(X) DE LA THEORIE DES CORPS DE CLASSES POUR X DEFINIE PAR S. SAITO. ADMETTANT QUE POUR L PREMIER LE SYMBOLE COHOMOLOGIQUE K 3(F)/L N H 3(F, 3 L N) EST UN ISOMORPHISME POUR UN CORPS F DE DIMENSION COHOMOLOGIQUE 4 (CAS PARTICULIER D'UNE CONJECTURE ET BLOCH ET KATO QUI EST CONNU POUR L = 2), NOUS MONTRONS QUE X EST INJECTIVE SUR LA TORSION LPRIMAIRE DE SK 1(X) SI L EST PREMIER A P ET SI X EST UNE SURFACE POUR LAQUELLE LE GROUPE DE COHOMOLOGIE LADIQUE H 2(X,Q L) EST TRIVIAL, DONC EN PARTICULIER SI X A POTENTIELLEMENT BONNE REDUCTION. EN DIMENSION SUPERIEURE, NOUS DERIVONS LE MEME ENONCE POUR UNE VARIETE AVEC BONNE REDUCTION D'UN CAS PARTICULIER D'UNE AUTRE CONJECTURE DE KATO. NOUS OBTENONS EGALEMENT DES RESULTATS DE FINITUDE POUR LE SOUSGROUPE DE TORSION DE SK 1(X). LES DEMONSTRATIONS REPOSENT SUR L'UTILISATION DES COMPLEXES MOTIVIQUES DE VOEVODSKY. DANS UNE DEUXIEME PARTIE, NOUS DEMONTRONS L'INJECTIVITE DE X Z/N POUR N QUELCONQUE SI X EST UNE SURFACE FIBREE EN CONIQUES AUDESSUS D'UNE COURBE PROPRE LISSE QUELCONQUE. LA METHODE, PLUS ELEMENTAIRE, SE SERT DE LA KTHEORIE DES ALGEBRES DE QUATERNIONS ET LE RESULTAT, INCONDITIONNEL, VAUT SANS HYPOTHESE SUR LA REDUCTION
2 editions published in 1998 in French and held by 4 WorldCat member libraries worldwide
SOIT X UNE VARIETE PROPRE, LISSE, GEOMETIQUEMENT INTEGRE DEFINIE SUR UN CORPS PADIQUE K. DANS CETTE THESE, NOUS ETUDIONS LE NOYAU DE L'APPLICATION DE RECIPROCITE X : SK 1(X) A B 1(X) DE LA THEORIE DES CORPS DE CLASSES POUR X DEFINIE PAR S. SAITO. ADMETTANT QUE POUR L PREMIER LE SYMBOLE COHOMOLOGIQUE K 3(F)/L N H 3(F, 3 L N) EST UN ISOMORPHISME POUR UN CORPS F DE DIMENSION COHOMOLOGIQUE 4 (CAS PARTICULIER D'UNE CONJECTURE ET BLOCH ET KATO QUI EST CONNU POUR L = 2), NOUS MONTRONS QUE X EST INJECTIVE SUR LA TORSION LPRIMAIRE DE SK 1(X) SI L EST PREMIER A P ET SI X EST UNE SURFACE POUR LAQUELLE LE GROUPE DE COHOMOLOGIE LADIQUE H 2(X,Q L) EST TRIVIAL, DONC EN PARTICULIER SI X A POTENTIELLEMENT BONNE REDUCTION. EN DIMENSION SUPERIEURE, NOUS DERIVONS LE MEME ENONCE POUR UNE VARIETE AVEC BONNE REDUCTION D'UN CAS PARTICULIER D'UNE AUTRE CONJECTURE DE KATO. NOUS OBTENONS EGALEMENT DES RESULTATS DE FINITUDE POUR LE SOUSGROUPE DE TORSION DE SK 1(X). LES DEMONSTRATIONS REPOSENT SUR L'UTILISATION DES COMPLEXES MOTIVIQUES DE VOEVODSKY. DANS UNE DEUXIEME PARTIE, NOUS DEMONTRONS L'INJECTIVITE DE X Z/N POUR N QUELCONQUE SI X EST UNE SURFACE FIBREE EN CONIQUES AUDESSUS D'UNE COURBE PROPRE LISSE QUELCONQUE. LA METHODE, PLUS ELEMENTAIRE, SE SERT DE LA KTHEORIE DES ALGEBRES DE QUATERNIONS ET LE RESULTAT, INCONDITIONNEL, VAUT SANS HYPOTHESE SUR LA REDUCTION
The Russian revolution : the collapse of the old regime by
Alec Nove(
Recording
)
2 editions published between 1972 and 1973 in English and held by 1 WorldCat member library worldwide
2 editions published between 1972 and 1973 in English and held by 1 WorldCat member library worldwide
CENTRAL SIMPLE ALGEBRAS AND GALOIS COHOMOLOGY by
Philippe Gille(
Book
)
1 edition published in 2017 in English and held by 1 WorldCat member library worldwide
1 edition published in 2017 in English and held by 1 WorldCat member library worldwide
Audience Level
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Related Identities
 Gille, Philippe 1968 Author
 Böröczky, K. Author Editor
 Kollár, János Editor
 Gille, Philippe 1968 Author
 Université ParisSud Degree grantor
 COLLIOT THELENE, JEANLOUIS. Thesis advisor
 Cambridge University Press Publisher
 Nove, Alec Author
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