Amador MartÃn-Pizarro : Three colours: green
Posted by Matthias Aschenbrenner , part of the Logic Seminar.
- At
- April 28, 2006, 11 a.m.
- In
- SEO 427
- 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.