|Location:||MSRI: Baker Board Room, Commons Room|
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 <C;+> --> <C^*;+,*>, where the domain has only linear structure.
I will present an abstract version of this result, where C^* is replaced by an almost arbitrary commutative finite Morley rank group - for example by a semiabelian variety in arbitrary characteristic, or a Manin kernel.
I will aim to give some details of the proof.
This is work-in-preparation with Bradd Hart and Anand Pillay.No Notes/Supplements Uploaded No Video Files Uploaded