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Strongly minimial groups in the theory of compact complex spaces

Moosa, R (Waterloo)
Tuesday 12 July 2005, 11:30-12:30

Seminar Room 1, Newton Institute


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.


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