Fri Oct 18, 2019
60 Evans Hall, 4:10–6 PM
Sebastian Eterovic (Visiting Assistant Prof. of Mathematics)
Categoricity of Shimura Varieties
The question of categoricity of the universal cover of certain algebraic varieties begun with Zilber’s study of the complex exponential function, and his methods have allowed people to study the question on other arithmetic varieties. In this talk we will consider the case of Shimura varieties, and we will see how some ideas from model theory and the classification of abstract elementary classes, can have explicit reformulations in terms of arithmetic geometry.