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SUMMARY:Sam Streeter (University of Bristol)
DTSTART:20210929T150000Z
DTEND:20210929T160000Z
DTSTAMP:20260423T024620Z
UID:hnts/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/hnts/36/">We
 ak approximation for del Pezzo surfaces of low degree</a>\nby Sam Streeter
  (University of Bristol) as part of Heilbronn number theory seminar\n\n\nA
 bstract\nWork of Iskovskih shows that any geometrically rational surface i
 s birational to a conic bundle or a del Pezzo surface. In this talk\, we f
 ocus on surfaces in the intersection of these two families through the len
 s of weak approximation. In joint work in progress with Julian Demeio\, we
  show that a general del Pezzo surface of degree one or two with a conic f
 ibration satisfies weak weak approximation\, or weak approximation away fr
 om finitely many places. We utilise a result of Denef connecting arithmeti
 c surjectivity (surjectivity on local points at all but finitely many plac
 es) with the scheme-theoretic notion of splitness.\n
LOCATION:https://researchseminars.org/talk/hnts/36/
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