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SUMMARY:The Grunwald Problem for solvable groups - Julian Demeio (Bath)
DTSTART:20241112T143000Z
DTEND:20241112T153000Z
UID:TALK220093@talks.cam.ac.uk
CONTACT:Jef Laga
DESCRIPTION:Let K be a number field. The Grunwald problem for a finite gro
 up (scheme) G/K asks what is the closure of the image of H1(K\,G) -> \\pro
 d_{v \\in M_K} H1(K_v\,G). For a general G\, there is a Brauer—Manin obs
 truction to the problem\, and this is conjectured to be the only one. In 2
 017\, Harpaz and Wittenberg introduced a technique that managed to give a 
 positive answer (BMO is the only one) for supersolvable groups. I will pre
 sent a new fibration theorem over quasi-trivial tori that\, combined with 
 the approach of Harpaz and Wittenberg\, gives a positive answer for all so
 lvable groups.
LOCATION:MR13
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