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SUMMARY:Mohamed Tawfik (King's College London)
DTSTART:20240424T150000Z
DTEND:20240424T160000Z
DTSTAMP:20260418T065059Z
UID:LNTS/131
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/131/">B
 rauer-Manin obstructions for Kummer surfaces</a>\nby Mohamed Tawfik (King'
 s College London) as part of London number theory seminar\n\nLecture held 
 in K0.18\, King's Building\, Strand Campus\, King's College London.\n\nAbs
 tract\nWe start by introducing Brauer-Manin obstructions to local-global p
 rinciples over varieties. We then move to some of the known literature on 
 Brauer-Manin obstructions for Kummer surfaces of products of elliptic curv
 es. We finally present our work on some of the special cases where we calc
 ulate the Brauer group of a Kummer surface $X=Kum(E \\times E')$ of a prod
 uct of CM elliptic curves $E$ and $E'$\, where $End(E)=End(E')=\\mathbb{Z}
 [\\zeta_3]$\, and show that a non-trivial 5-torsion element of the transce
 ndental Brauer group gives rise to Brauer Manin obstruction to weak approx
 imation for $X$.\n
LOCATION:https://researchseminars.org/talk/LNTS/131/
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