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
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC Secondary Mathematics Subject Classification No Secondary AMS MSC
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.
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