Stability theory and Diophantine geometry
Introductory Workshop: Model Theory, Arithmetic Geometry and Number Theory February 03, 2014 - February 07, 2014
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC Secondary Mathematics Subject Classification No Secondary AMS MSC
I will discuss various aspects of the model theoretic approach to Manin-Mumford and functional Mordell-Lang, originating in Hrushovski's work in the 1990's. The underlying structural results were dichotomy theorems for minimal sets in difference closed fields and differentially closed fields. I will also touch on later developments: the canonical base property, the possibility of reducing function field Mordell-Lang to function field Manin-Mumford, and possibly the recent work of Roessler and Corpet
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