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Title: Model-Theoretic Algebraic Closure in Zilber’s Field
Abstract: I will explain how the model-theoretic algebraic closure in Zilber’s pseudo-exponential field can be described in terms of the self-sufficient closure. I will sketch a proof and show how the Mordell-Lang conjecture for algebraic tori comes into play. If time permits, I’ll also talk about the characterisation of strongly minimal sets and their geometries. This is joint work (still in progress) with Jonathan Kirby.
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We will meet for coffee and tea at 3:15pm in the Huxley common room on the 5th floor and go to the pub and dinner after the seminar.