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Stability theory and Diophantine geometry

Introductory Workshop: Model Theory, Arithmetic Geometry and Number Theory February 03, 2014 - February 07, 2014

February 07, 2014 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Anand Pillay (University of Notre Dame)
Location: SLMath: Eisenbud Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

v1260
Abstract

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
Supplements
20089?type=thumb Pillay notes 2.92 MB application/pdf Download
Video/Audio Files

v1260

H.264 Video v1260.mp4 334 MB video/mp4 rtsp://videos.msri.org/data/000/019/898/original/v1260.mp4 Download
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