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An Isaac Newton Institute Workshop

Model Theory, Algebraic and Analytic Geometry

Strongly minimial groups in the theory of compact complex spaces

12th July 2005

Author: Rahim Moosa (University of Waterloo)

Abstract

A compact complex space is viewed as a first-order structure in the language where all analytic subsets of the cartesian powers are named. Anand Pillay and Thomas Scanlon have characterised all strongly minimal groups definable in such a structure as being either a simple complex torus or the additive/multiplicative group of the complex field. I will discuss joint work with Matthias Aschenbrenner and Thomas Scanlon in which we give a uniform version of this result thereby characterising strongly minimal groups in elementary extensions of compact complex spaces.