Publications > Introductory Notes and surveys
Introductory Notes and Surveys
References of some survey papers
- Luc Bélair, Panorama of p-adic model theory,
Ann. Sci. Math. Québec. A survey of the literature in the model theory of p-adic numbers since
Denef's work on the rationality of Poincaré series.
- Enrique Casanovas Groups in stable and
simple theories (April 2006). A few results, maybe not well-known, on bounded type-definable relations and canonical
- Zoé Chatzidakis
- Introduction to model theory
(26 pages, format dvi).
These notes introduce very basic concepts of model theory. They contain
some of the material of lectures given at Luminy (November 01).
- Notes on the model theory of finite and pseudo-finite fields
(45 pages, format dvi or ps). These notes
contain the material covered during a mini-course which took place at
the UAM (Madrid, Spain), 15 - 25 November 2005, and was funded by MODNET.
- Artem Chernikov
- Michel Coste
- Adrien Deloro
of finite Morley rank and their representations. Notes for a
mini-course given at Universidad de los Andes in May 2017 (revised May 2019). There were four
lectures of 105 minutes each, although 2 hours might have been more reasonable.
- Groups of small Morley
Rank. Notes for a mini-course given at Universidad de los Andes in October 2018. There were five
lectures of two hours each, devoted to proving the Cherlin-Zilber
conjecture in rank 3 (32 pages).
- Margarita Otero, A survey on groups definable in o-minimal
structures (30 pages, format pdf).
- Ya'acov Peterzil, A self-guide to o-minimality (notes for a tutorial given in the Camerino Summer School, June 2007).
- Anand Pillay, Lecture notes from a recent sequence of courses in
- A. J. Wilkie, Lectures on elimination theory for semialgebraic
and subanalytic sets. Notes from courses given at UI Chicago
and at Notre Dame, fall 2010.
- Boris Zilber, Lecture notes from graduate courses.
- Elements of Geometric Stability Theory (48 pages, ps)
- Zariski Geometries (85 pages, dvi,
- Lecture notes from the Leeds MODNET summer school (12 - 17 December
- Lecture notes from the MODNET Summer School 2007, Camerino, 14 - 16
- Model Theory of Groups (Andreas Baudisch,
Humboldt-Universität Berlin). Slides.
- Model Theory of Modules (Philipp Rothmaler,
- Introduction to o-minimality (Kobi Peterzil, U. of
- Lecture notes from the MODNET Research Workshop,
Humboldt-Universität Berlin, 10-14 September 2007. Notes on the
- Model Theory of Fields (Françoise Delon, Université
- O-minimality, Part II. On the construction of o-minimal structures
(Alex Wilkie, The University of Manchester). Notes
- Applications of Model Theory of Fields. The Zariski dichotomy and
Mordell-Lang (Rahim Moosa, University of Waterloo).
Notes by participants.
- Lecture notes from the La Roche MODNET Training Workshop Model
theory and Applications, 20 - 25 April 2008. Notes on the tutorials written by
students and post-docs.
- Tutorial Geometric motivic integration by R. Cluckers: Part I
(M. Kamensky), Part 2
(C. Milliet), Part 3 (A. Chernikov).
- Tutorial Model Theory of
Valued fields by D. Macpherson (N. Frohn, G. Onay, R. De Aldama and O. Roche).
- Tutorial On Interactions between Model theory and number theory
(Galois groups and transcendence) by D. Bertrand, P. Kowalski and
- Tutorial Finite model theory by A. Dawar
- Anand Pillay, Model theory, Notices Amer. Math. Soc. 47 (2000),
no. 11, 1373 - 1381.
- Anand Pillay, Model theory and stability theory, with applications
in differential algebra and algebraic geometry, in: Model theory with
applications to algebra and analysis. Vol. 1, 1 - 23, London Math. Soc. Lecture Note Ser., 349, Cambridge Univ. Press, Cambridge, 2008.
- Rahim Moosa, Model theory and complex geometry, Notices
Amer. Math. Soc. 57 (2010), no. 2, 230 - 235.
- Thomas Scanlon,
Counting special points: Logic, diophantine geometry, and
Bull. Amer. Math. Soc. (N.S.) 49 (2012), no. 1, 51 - 71.