Martin Bays : Classifying the models of the theory of the universal cover of a commutative finite Morley rank group

Posted by Isaac Goldbring , part of the Logic Seminar.

At

Oct. 29, 2013, 4 p.m.

In

SEO 427

Abstract

As part of his programme to tackle the model theory of complex exponentation, Zilber (2002) obtained a categoricity result for the structure of the exponential map in the "Lie algebra" language $<\mathbb C;+> --> <\mathbb C^*;+,*>$, where the domain has only linear structure. I will present an abstract version of this result, where $\mathbb C^*$ is replaced by an almost arbitrary commutative finite Morley rank group, for example by a semiabelian variety in arbitrary characteristic. This is work-in-preparation with Bradd Hart and Anand Pillay.