Splitting Brauer classes

Wei Ho (University of Michigan)

12-Jun-2020, 19:00-20:00 (3 years ago)

Abstract: Given a Brauer class over a field, what types of varieties split it? Or more geometrically, can we say anything about the varieties that map to a given Brauer-Severi variety? In this talk, we will discuss some open questions related to splitting Brauer classes. For example, we will review some classical algebro-geometric constructions that produce genus one curves splitting low index Brauer classes ((old) joint work with A.J. de Jong), and we will explain why a Brauer class of any index is split by a torsor under an abelian variety (joint work with M. Lieblich).

algebraic geometry

Audience: researchers in the topic

( slides )

Comments: The discussion for Wei Ho’s talk is taking place not in zoom-chat, but at tinyurl.com/2020-06-12-wh (and will be deleted after 3-7 days).

Stanford algebraic geometry seminar

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Organizer: Ravi Vakil*
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