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Logic Seminar - Alex Wilkie (Manchester and Oxford)

Dates:18 May 2022
Times:14:00 - 15:00
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

Note the unusual time, and the unusual location.

Title: Tame extensions revisited in the complex context

Abstract: I shall review the theorems of Marker-Steinhorn and van den Dries concerning standard parts of sets definable in o-minimal structures and then (motivated by the results in chapter VI of Abraham Robinson's 'Non-standard Analysis") apply them to definable complex holomorphic functions. It turns out that in the polynomially bounded case (and only in this case) one can prove strong versions of classical results such as Bloch's theorem and the Borel-Carathédory theorem. The motivation is, as ever, the Zilber conjecture for the complex exponential field.

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