MPIM

Period index questions for hyperelliptic curvesMPIM

by Jaya Iyer (The Institute of Mathematical Sciences, Chennai/MPIM)

Europe/Berlin
MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

MPIM, Vivatsgasse, 7 - Lecture Hall

Max Planck Institute for Mathematics

120
Description

Number theory lunch seminar

We will discuss Period index questions for Brauer group of  fields. In particular for function fields of hyperelliptic curves over a number field,
we will explain the geometric constructions and via Lieblich's theory, provide a proof of period equals index of  2-torsion Brauer elements,
under some local assumptions.