Date: Friday, March 18, 2022
Location: 2866 East Hall (3:00 PM to 3:50 PM)
Title: SeveriBrauer varieties
Abstract: A SeveriBrauer variety over a field k is an algebraic variety that becomes isomorphic to some projective space over the algebraic closure of k. SeveriBrauer 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 SeveriBrauer varieties, as well as the following theorem of Amitsur: if X and Y are birational SeveriBrauer varieties, then the associated elements of Br(k) generate the same subgroup.
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Speaker: Gary Hu
Institution: UM
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