Seminar series
Date
Thu, 02 Jun 2022
Time
14:30 -
15:45
Location
L4
Speaker
Boris Zilber
Organisation
(Oxford University)
Given a cover U of a family of smooth complex algebraic varieties, we associate with it a class C of structures locally definable in an o-minimal expansion of the reals, containing the cover U. We prove that the class is ℵ0-homogeneous over submodels and stable. It follows that C is categorical in cardinality ℵ1. In the one-dimensional case we prove that a slight modification of C is an abstract elementary class categorical in all uncountable cardinals.