Model Theory Seminar

This first meeting will be partially devoted to organizing for the semester. But, I will also begin talking about Jamshid Derakhshan' survey paper on the model theory of the adeles entitled 'Model Theory of the Adeles and Number Theory'.

We will discuss the paper of Cluckers, Derakhshan, Leeknegt and Macintyre on uniformly defining valuation rings in Henselian valued fields with finite or pseudofinite residue fields.

I will continue talking about Derakhsan's survey article 'Model Theory of Adeles and Number Theory'.

We prove that a random group, in Gromov's density model with $d\lt 1/2$, satisfies an AE sentence (in the language of groups) if and only if this sentence is true in a nonabelian free group. This is a joint work with R. Sklinos.