Logic seminar: Sebastian Eterovic (Leeds)
| Dates: | 9 November 2022 |
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| Times: | 15:15 - 16:15 |
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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: Likely Intersections
Abstract: The past few years have seen many important results in Diophantine geometry concerning unlikely intersections, and model theory has played a crucial role in this progress. In this talk I will introduce this topic and review some techniques from model theory that by now have become standard in the area. The main result I will present is a strong counterpart to the Zilber-Pink conjecture. Zilber-Pink predicts that if X is a proper subvariety of a special kind of variety S and X is not contained in a proper special subvariety of S, then the union of the unlikely intersections of X with the proper special subvarieties of S is not Zariski dense in X. We will see that the likely intersections of X (which are defined in a slightly more delicate way than one might naively expect) are Euclidean dense in X. This is joint work with Tom Scanlon.
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Frank Adams 1 (and zoom, link in email)
Alan Turing Building
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