The exponential-algebraic closedness conjecture, due to Zilber, predicts sufficient conditions for a system of
exponential-polynomial equations to have solutions in the complex numbers. It is phrased geometrically, interpreting existence of solutions to these systems as existence of points in the intersection of the graph of the complex exponential and an algebraic subvariety of the tangent bundle of the complex multiplicative group.
In this talk, I will briefly recall the motivation of this question and then focus on the case of varieties which split as the product of a linear subspace of the additive group and an algebraic subvariety of the multiplicative group. These varieties correspond to systems of exponential sums equations, and the proof that the conjecture holds in this case uses tools from tropical geometry.

Per ulteriori informazioni, si puo' contattare gli organizzatori all'email amos.turchet@uniroma3.it.
org: Turchet Amos