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SUMMARY:Anthony Várilly-Alvarado (Rice University)
DTSTART:20210604T220000Z
DTEND:20210604T230000Z
DTSTAMP:20260423T023935Z
UID:UCSBsga/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSBsga/26/"
 >From Merel's theorem to Brauer groups of K3 surfaces</a>\nby Anthony Vár
 illy-Alvarado (Rice University) as part of UCSB Seminar on Geometry and Ar
 ithmetic\n\n\nAbstract\nOver number fields\, the Brauer group of a K3 surf
 ace behaves similarly to the subgroup of points of finite order of an elli
 ptic curve.  In 1996\, Merel showed that the order of the torsion subgroup
  of an elliptic curve E/K is bounded by a constant depending only on the d
 egree of the extension [K:Q].  I will discuss an analogous conjecture in t
 he context of Brauer groups of K3 surfaces\, and the evidence we have accu
 mulated so far for it.\n
LOCATION:https://researchseminars.org/talk/UCSBsga/26/
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