A model-theorist's view of algebraically closed valued fields
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 start with the definition of an algebraically closed valued field, and observe the role played by the families of open and closed balls, and how the residue field and value group can be seen in different subfamilies. We will look at the definable sets and definable equivalence classes in one variable, and discuss how to generalise to more variables. This will lead to looking at examples of stably dominated types, which play a fundamental role in the model-theoretic approach to Berkovich space
Please report video problems to firstname.lastname@example.org.
See more of our Streaming videos on our main VMath Videos page.