Two-torsion of the Brauer Group of an Elliptic Surface

Yixin Chen (Simon Fraser University)

01-Dec-2022, 23:30-00:30 (16 months ago)

Abstract: The Brauer group of a variety encodes important arithmetic information. For instance, it plays an important role in the Brauer-Manin obstruction, which governs the existence of rational points on many varieties. In this thesis we describe the 2-torsion part of the Brauer group of certain elliptic surfaces. In particular, we compute explicit representatives of these elements in terms of quaternion algebras over the function field of the surface.

algebraic geometrynumber theory

Audience: researchers in the topic


SFU NT-AG seminar

Series comments: Description: Research/departmental seminar

Seminar usually meets in-person. For online editions, the Zoom link is shared via mailing list.

Organizers: Katrina Honigs*, Nils Bruin*
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