Logic seminar: Francesco Gallinaro
| Dates: | 22 May 2024 |
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| Times: | 15:15 - 16:30 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Adults, Alumni, Current University students |
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Title: Abelian exponential-algebraic closedness: the split case
Abstract: The abelian exponential-algebraic closedness conjecture, stated by Bays and Kirby, predicts sufficient conditions for solvability of systems of equations involving algebraic operations and the exponential map of a complex abelian variety. This is phrased geometrically, interpreting existence of solutions to these systems as existence of points in the intersection between the graph of the exponential and an algebraic subvariety of the tangent bundle of the abelian variety, and it is motivated by model-theoretic questions on the structure of subsets of the complex numbers that are definable using polynomials and the exponential. In this talk I will report on work in progress concerning the case of the conjecture in which the subvariety of the tangent bundle splits as a product of subvarieties; I will discuss how a method developed by Peterzil and Starchenko to approximate algebraic varieties and a previous result of mine on a simpler case of the conjecture can be used to tackle this problem.
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Frank Adams 1 (and zoom, link in email)
Alan Turing Building
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