Model theory with applications to algebra and analysis, Volume 1
Zoé Maria Chatzidakis, Dugald Macpherson, Anand Pillay and Alex Wilkie
The first of a two-volume set showcasing the current research in model theory and its connections with number theory, algebraic geometry, real analytic geometry and differential algebra. This volume begins with 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 included showcase 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 two-volume set will undoubtedly appeal to all mathematicians with an interest in model theory and its applications.
Categories:
Year:
2008
Edition:
1
Publisher:
Cambridge University Press
Language:
english
Pages:
350
ISBN 10:
0521694841
Series:
London Mathematical Society Lecture Note volume 349
File:
PDF, 3.62 MB
IPFS:
,
english, 2008