Rami Grossberg (Rami@cmu.edu)

URL: www.math.cmu.edu/~rami

MWF 3:30-4:20PM, WeH 7201

Starting date: Monday, January , 2013

12 Units

This will be different than courses I offered in recent years. It will
not depend on Model theory II.

I will concentrate in
classification theory for first-order theories. The theory was developed
mostly by Saharon Shelah presented in his 1990 book and in several hundreds of papers.

The American Mathematical Society announced that
in January 2013,
it will award Shelah the "Steel prize for Seminal Contribution to Reseach"
for his 1990 book.

Among the reasons given:
"... made model theory into a mature field, completely transforming its aims, methods, and ability to connect to algebra and
geometry."

Text: There is no official text.

Some of the material appears in the following books:

- J. Baldwin, Fundamentals of stability theory.
- S. Buechler, Essential Stability theory.
- A. Pillay, Stability.
- Bruno Poizat, A course in Model Theory, Springer-Verlag 2000.
- Saharon Shelah, Classification Theory North-Holland 1990. This is the most important and difficult book in model theory.

Rami's home page.

Last modified:
January 2 ^{nd}, 2013 |