Logic Seminar - Alex Wilkie (Manchester and Oxford)
|Starts:||14:00 18 May 2022|
|Ends:||15:00 18 May 2022|
|What is it:||Seminar|
|Organiser:||Department of Mathematics|
|Who is it for:||University staff, External researchers, Adults, Alumni, Current University students|
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.
Travel and Contact Information
G.207 (and zoom, link in email)
Alan Turing Building