Model Theory II

Math 507

Spring 2017

Course Meeting:
Call Number:
Instructor: David Marker
Office: 404 SEO/ 312 SEO
Office Hours: TBA
phone: (312) 996-3069
e-mail: marker@math.uic.edu
course webpage: http://www.math.uic.edu/~marker/math507-S17

Description

The two main topics discussed in the course will be the model theory of omega-stable groups and the geometry of strongly minimal sets. Additional topics will be chosen as time permits.

Here is a detailed syllabus

Texts

D. Marker, Model Theory: An Introduction, Springer, 2002.
K. Tent and M. Ziegler, A Course in Model Theory , Cambridge 2012.

References

A. Pillay, Geometric Stability Theory, Oxford 1996.
A. Pillay, UIUC Lecture on Stability Theory
P. Simon, A Guide to NIP Theories, Cambridge 2015. ( a preliminary version is available at: A Guide to NIP Theories

I hope to cover chapters 7 and 8 from my book , much of the material from chapters 7--9 of Tent--Ziegler and some of the basic material from Simon.

Prerequisites

Math 506 Model Theory I or a comparable course.

Grading

I will keep a running list of problems. At several points in the course I will ask you to turn in a number of problems. You may work together on homework problems (and I encourage you to do so), but when you turn in the problem you should acknowledge that you have worked together.

Handouts

Internality and Binding Groups

Exercises

Exercises

Turn in 5 Exercises by Tuesday January 31.
Turn in 5 additional exercises by Tuesday February 14.
Turn in 5 additional exercises by Tuesday March 7.