Logic Seminar
Amador Martín-Pizarro
Humboldt-Universität zu Berlin and Université Lyon 1
Three colours: green
Abstract: In this talk I will present joint work with A. Baudisch, M. Hils and F. Wagner on Poizat's green fields. These
fields are an infinite rank candidate for a bad field in characteristic 0. We will discuss how a result on
Schanuel-like inequalities due to Ax allowed Poizat to obtain a finiteness result on the toric equations to
consider for expressing Q-linear independence for certain extensions in the Fraisse-Hrushovski model.
We will conclude from this the existence of a collapsed structure, i.e., a field of rank 2 with a definable
divisible proper multiplicative subgroup.
Friday April 28, 2006 at 11:00 AM in SEO 427