Algebraic Geometry Seminar

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Torsors over moduli of genus one curves and splitting Brauer classes

Speaker: Asher Auel

Location: Warren Weaver Hall 317

Date: Tuesday, April 30, 2019, 3:30 p.m.

Synopsis:

It is an open problem to decide whether every Brauer class is split by the function field of a smooth geometrically irreducible genus one curve.  The problem has already been solved for index at most 5.  In this talk, I'll explain how new cases can be settled by an analysis of certain torsors over the moduli space of pointed genus one curves that arise from classical geometric constructions.  This is joint work with Danny Krashen.