
Publications > Introductory Notes and surveys
Introductory Notes and Surveys
Introductory notes
 Luc Bélair, Panorama of padic model theory,
Ann. Sci. Math. Québec. A survey of the literature in the model theory of padic 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 wellknown, on bounded typedefinable relations and canonical
bases.
 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 pseudofinite fields
(45 pages, format dvi or ps). These notes
contain the material covered during a minicourse which took place at
the UAM (Madrid, Spain), 15  25 November 2005, and was funded by MODNET.
 Artem Chernikov
 Michel Coste
 Adrien Deloro
 Groups
of finite Morley rank and their representations. Notes for a
minicourse 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 minicourse given at Universidad de los Andes in October 2018. There were five
lectures of two hours each, devoted to proving the CherlinZilber
conjecture in rank 3 (32 pages).
 Margarita Otero, A survey on groups definable in ominimal
structures (30 pages, format pdf).
 Ya'acov Peterzil, A selfguide to ominimality (notes for a tutorial given in the Camerino Summer School, June 2007).
 Anand Pillay, Lecture notes from a recent sequence of courses in
model theory:
 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,
ps,
pdf)
 Lecture notes from the Leeds MODNET summer school (12  17 December
05).
 Lecture notes from the MODNET Summer School 2007, Camerino, 14  16
June 2007.
 Model Theory of Groups (Andreas Baudisch,
HumboldtUniversität Berlin). Slides.
 Model Theory of Modules (Philipp Rothmaler,
CUNY). Paper.
 Introduction to ominimality (Kobi Peterzil, U. of
Haifa). Notes.
 Lecture notes from the MODNET Research Workshop,
HumboldtUniversität Berlin, 1014 September 2007. Notes on the
courses.
 Model Theory of Fields (Françoise Delon, Université
Paris 7)
 Ominimality, Part II. On the construction of ominimal structures
(Alex Wilkie, The University of Manchester). Notes
by participants.
 Applications of Model Theory of Fields. The Zariski dichotomy and
MordellLang (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 postdocs.
 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
A. Pillay.
 Tutorial Finite model theory by A. Dawar
References of some survey papers
 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
transcendence theory,
Bull. Amer. Math. Soc. (N.S.) 49 (2012), no. 1, 51  71.
