Algebraic Model Theory

1. Front Matter

   Pages i-xvii

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2. An Introduction to Independence and Local Modularity

   • Elisabeth Bouscaren

   Pages 1-24

3. Groups Definable in ACFA

   • Zoé Chatzidakis

   Pages 25-52

4. Large Finite Structures with Few Types

   • Gregory Cherlin

   Pages 53-105

5. A Survey of the Uncountable Spectra of Countable Theories

   • Bradd Hart, Michael C. Laskowski

   Pages 107-118

6. An Introduction to Tame Congruence Theory

   • Emil W. Kiss

   Pages 119-143

7. Stable Finitely Homogeneous Structures: A Survey

   • Alistair H. Lachlan

   Pages 145-159

8. Homogeneous and Smoothly Approximated Structures

   • Dugald Macpherson

   Pages 161-179

9. Khovanskii’s Theorem

   • David Marker

   Pages 181-193

10. ACFA and the Manin-Mumford Conjecture

    • Anand Pillay

    Pages 195-205

11. Decidable Equational Classes

    • Matthew A. Valeriote

    Pages 207-221

12. Schanuel’s Conjecture and the Decidability of the Real Exponential Field

    • A. J. Wilkie

    Pages 223-230

13. Three Lectures on the RS Problem

    • Ross Willard

    Pages 231-254

14. Decidable Modules

    • Martin Ziegler

    Pages 255-274

15. Back Matter

    Pages 275-277

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Recent major advances in model theory include connections between model theory and Diophantine and real analytic geometry, permutation groups, and finite algebras. The present book contains lectures on recent results in algebraic model theory, covering topics from the following areas: geometric model theory, the model theory of analytic structures, permutation groups in model theory, the spectra of countable theories, and the structure of finite algebras.
Audience: Graduate students in logic and others wishing to keep abreast of current trends in model theory. The lectures contain sufficient introductory material to be able to grasp the recent results presented.

• Grad
• algebra
• model theory

• Department of Mathematics, McMaster University, Hamilton, Canada

  Bradd T. Hart, Matthew A. Valeriote

• Department of Mathematics, Simon Fraser University, Burnaby, Canada

  Alistair H. Lachlan

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