Model Theory with Applications to Algebra and Analysis: Volume 1
Volume 1
Published on 22. May 2008
Book
Paperback/Softback
352 pages
978-0-521-69484-1 (ISBN)
Description
The first of a two volume set showcasing current research in model theory and its connections with number theory, algebraic geometry, real analytic geometry and differential algebra. Each volume contains a series of expository essays and research papers around the subject matter of a Newton Institute Semester on Model Theory and Applications to Algebra and Analysis. The articles convey outstanding new research on topics such as model theory and conjectures around Mordell-Lang; arithmetic of differential equations, and Galois theory of difference equations; model theory and complex analytic geometry; o-minimality; model theory and noncommutative geometry; definable groups of finite dimension; Hilbert's tenth problem; and Hrushovski constructions. With contributions from so many leaders in the field, this book will undoubtedly appeal to all mathematicians with an interest in model theory and its applications, from graduate students to senior researchers and from beginners to experts.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises; 6 Line drawings, unspecified
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 21 mm
Weight
572 gr
ISBN-13
978-0-521-69484-1 (9780521694841)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Zoe Chatzidakis | Dugald Macpherson | Anand Pillay
Model Theory with Applications to Algebra and Analysis: Volume 1
E-Book
05/2012
1st Edition
Cambridge University Press
€51.49
Available for download
Persons
Zoe Chatzidakis is Directeur de recherches in the Centre National de la Recherche Scientifique (CNRS) at the Universite de Paris VII. Dugald Macpherson is a Professor in the School of Mathematics at the University of Leeds. Anand Pillay is a Professor in the School of Mathematics at the University of Leeds and Swanlund Chair Emeritus in the Mathematics Department at the University of Illinois. Alex Wilkie is Fielden Professor of Pure Mathematics at the University of Manchester.
Content
Preface; List of contributors; 1. Model theory and stability theory, with applications in differential algebra and algebraic geometry Anand Pillay; 2. Differential algebra and generalizations of Grothendieck's conjecture on the arithmetic of linear differential equations Anand Pillay; 3. Schanuel's conjecture for non-isoconstant elliptic curves over function fields Daniel Bertrand; 4. An afterthought on the generalized Mordell-Lang conjecture Damian Roessler; 5. On the definitions of Difference Galois Groups Zoe Chatzidakis, Charlotte Hardouin and Michael F. Singer; 6. Differentially valued fields are not differentially closed Thomas Scanlon; 7. Complex analytic geometry in a nonstandard setting Ya'acov Peterzil and Sergei Starchenko; 8. Model theory and Kaehler geometry Rahim Moosa and Anand Pillay; 9. Some local definability theory for holomorphic functions A. J. Wilkie; 10. Some observations about the real and imaginary parts of complex Pfaffian functions Angus Macintyre; 11. Fusion of structures of finite Morley rank Martin Ziegler; 12.Establishing the o-minimality for expansions of the real field Jean-Philippe Rolin; 13. On the tomography theorem by P. Schapira Sergei Starchenko; 14. A class of quantum Zariski geometries Boris Zilber; 15. Model theory guidance in number theory? Ivan Fesenko.