Logarithmic-Exponential Series

Kolchin seminar in Differential AlgebraFriday, November 15, 201310:15 amGC 5382

David Marker

Logarithmic-Exponential Series

University of Illinois at Chicago

I will survey some old work of van den Dries, Macintyre and myself. We construct an algebraic nonstandard model of the theory of the real exponential field. There is a natural derivation on the LE-series which is compatible with the exponential and the archimedean valuation.

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.

Posted by on November 14th, 2013