|Date: Friday, March 18, 2022
Location: 2866 East Hall (3:00 PM to 3:50 PM)
Title: Severi-Brauer varieties
Abstract: A Severi-Brauer variety over a field k is an algebraic variety that becomes isomorphic to some projective space over the algebraic closure of k. Severi-Brauer varieties are closely related to central simple algebras and thus provide a geometric way to interpret elements of the Brauer group Br(k). In this talk, we will explore some basic properties and examples of Severi-Brauer varieties, as well as the following theorem of Amitsur: if X and Y are birational Severi-Brauer varieties, then the associated elements of Br(k) generate the same subgroup.
Speaker: Gary Hu