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SUMMARY:Cedric Xiao (MIT)
DTSTART:20260423T210000Z
DTEND:20260423T223000Z
DTSTAMP:20260422T220548Z
UID:STAGE/157
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/STAGE/157/">
 Finite descent on curves I</a>\nby Cedric Xiao (MIT) as part of STAGE\n\nL
 ecture held in Room 2-139 in the MIT Simons Building.\n\nAbstract\nIn this
  and the next talk\, we're focusing on the descents of finite étale group
  schemes\, and similar properties over finite solvable and abelian group s
 chemes. We discuss on the subset of adelic points cut by these covering co
 nditions\, and about their relation with the rational points on the variet
 y. We would further relate these obstruction with the Brauer-Manin obstruc
 tion\, and develop results over curves. \n\nReference: <a href="https://ms
 p.org/ant/2007/1-4/ant-v1-n4-p01-p.pdf">Stoll</a>\, Finite Descent Obstruc
 tions and Rational Points on Curves\, Section 5-6 (note the <a href="https
 ://msp.org/ant/2007/1-4/ant-v1-n4-x01-Errata-FiniteDescent.pdf">erratum</a
 >)\n
LOCATION:https://researchseminars.org/talk/STAGE/157/
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