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SUMMARY:Yanshuai Qin (UC Berkeley)
DTSTART:20210302T210000Z
DTEND:20210302T220000Z
DTSTAMP:20260423T010013Z
UID:UAANTS/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/20/">
 A relation between Brauer groups and Tate-Shafarevich groups for high dime
 nsional fibrations</a>\nby Yanshuai Qin (UC Berkeley) as part of Universit
 y of Arizona Algebra and Number Theory Seminar\n\n\nAbstract\nLet $\\mathc
 al{X} \\rightarrow C$  be a dominant morphism between smooth geometrically
  connected varieties over a finitely generated field such that the generic
  fiber $X/K$ is smooth\, projective and geometrically connected.  We prove
  a relation between the Tate-Shafarevich group of  $Pic^0_{X/K}$ and the g
 eometric Brauer groups of $ \\mathcal{X}$\, $X$ and $C$\, generalizing a t
 heorem of Artin and Grothendieck for fibered surfaces to arbitrary relativ
 e dimension.\n
LOCATION:https://researchseminars.org/talk/UAANTS/20/
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