# Differential fields — a model theorist’s view

## David Marker

### University of Illinois at Chicago

In his book *Saturated Model Theory*, Gerald Sacks described differentially closed fields as “the least misleading” example of an Ω-stable theory. His remark was particularly prescient as many interesting model theoretic phenomena arise naturally in differential algebra. Model theory has been strangely effective in both solving and generating questions in differential algebraic geometry. I will survey some aspects of this interaction.

This talk is part of a weekend-long workshop in differential algebra. Details are available here.

Professor Marker holds the position of LAS Distinguished Professor in the Department of Mathematics, Statistics, and Computer Science at the University of Illinois at Chicago. He conducts research in model theory and it applications, particularly in applications to real algebraic geometry and real analytic geometry, exponentiation and differential algebra. His excellent textbook Model Theory: an Introduction is widely studied.