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Around the Canonical Base Property

Connections for Women: Model Theory and Its Interactions with Number Theory and Arithmetic Geometry February 10, 2014 - February 11, 2014

February 11, 2014 (11:15AM PST - 12:15PM PST)
Speaker(s): ZoƩ Chatzidakis (Centre National de la Recherche Scientifique (CNRS))
Location: MSRI: Simons Auditorium
Video

Abstract

The Canonical Base Property (CBP for short) was introduced by Pillay, inspired by results in Complex geometry. It implies the dichotomy "modular/fields" for rank 1 types, and is satisfied by the two main examples of fields with operators. After giving the definition, I will discuss how one can prove it, some of its consequences, notably a descent result. I will also mention some applications to algebraic questions.

Supplements
20179?type=thumb Chatzidakis notes 140 KB application/pdf Download
Video/Audio Files

v1270

H.264 Video v1270.mp4 310 MB video/mp4 rtsp://videos.msri.org/data/000/019/928/original/v1270.mp4 Download
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