Seminar Event Detail


Student Algebraic Geometry

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.

Files:


Speaker:  Gary Hu
Institution:  UM

Event Organizer:     

 

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