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DTSTAMP:20241106T205831Z
UID:648ae47508c71361463092@ist.ac.at
DTSTART:20240627T130000
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DESCRIPTION:Speaker: Julian Demeio\nhosted by Tim Browning\nAbstract: Let $
K$ be a number field. The Grunwald problem for a finite group (scheme) G/K
asks what is the closure of the image of $H^1(K\,G) \\to \\prod_{v \\in M
_K} H^1(K_v\,G)$. For a general $G$\, there is a BrauerManin obstruction t
o the problem\, and this is conjectured to be the only one. In 2017\, Harp
az and Wittenberg introduced a technique that managed to give a positive a
nswer (BMO is the only one) for supersolvable groups. I will present a new
fibration theorem over quasi-trivial tori that\, combined with the approa
ch of Harpaz and Wittenberg\, gives a positive answer for all solvable gro
ups. Partial results were also obtained independently by Harpaz and Witten
berg.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Julian Demeio: The Grunwald Problem for solvable groups
URL:https://talks-calendar.ista.ac.at/events/5077
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