Clay Mathematics Institute

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Comparing, and trying to distinguish, the complex and Zilber exponentials

Angus Macintyre (Queen Mary University London) 

Abstract. I will survey the attempts, all unsuccessful till now, to refute Zilber's bold conjecture connecting the classical complex exponential and his model-theoretically inspired exponential. These failures have led to interesting connections between Schanuel's Conjecture and conjectures in complex analysis.