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Logic seminar: Sebastian Eterovic (Leeds)

Dates:9 November 2022
Times:15:15 - 16:15
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, External researchers, Adults, Alumni, Current University students
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  • Department of Mathematics

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  • In category "Seminar"
  • In group "(Maths) Maths seminar series"
  • In group "(Maths) Logic"
  • By Department of Mathematics

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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