|Date: Friday, February 09, 2018
Location: 3096 East Hall (3:10 PM to 4:00 PM)
Title: Spreading Out
Abstract: Spreading out is a standard technique in algebraic geometry. It allows us to relate geometric statements over a field of characteristic zero to the analogous results over more general bases. Moreover, spreading out arises in many interesting questions in arithmetic geometry (for example, the study of integral models). In this talk, we will introduce the procedure of spreading out and its properties. As an application, we will use the technique to show a theorem of Ax, which roughly states that any injective endomorphism of an affine variety is bijective. This talk will be accessible to anyone who is taking or has taken 632.
Speaker: Haoyang Guo