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Title:
Around the Canonical Base Property

Speaker:
ZoƩ Chatzidakis

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.

Link:
https://www.msri.org/workshops/687/schedules/17851

Workshop:
MSRI- Connections for Women: Model Theory and Its Interactions with Number Theory and Arithmetic Geometry