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Period index questions for hyperelliptic curves

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Speaker: 
Jaya Iyer
Affiliation: 
The Institute of Mathematical Sciences, Chennai/MPIM
Date: 
Thu, 18/09/2025 - 16:30 - 17:30
Location: 
MPIM Lecture Hall
Parent event: 
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.

 

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