BLC 2010

Some model theory for expansions of the complex field by holomorphic functions
Alex Wilkie
The motivating problem is, of course, Zilber's conjecture: is the expansion of the complex field by the exponential function quasi-minimal , i.e. is every definable subset of C is either countable or co-countable? I shall discuss a possible approach to this and related questions, as well as discussing some local theory for the complex exponential field where the theory of polynomially bounded o-minimal structures plays a role.