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SUMMARY:Sarah Frei (Rice)
DTSTART:20211023T183000Z
DTEND:20211023T185000Z
DTSTAMP:20260423T024559Z
UID:AGNES/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGNES/6/">Re
 duction of Brauer classes on K3 surfaces</a>\nby Sarah Frei (Rice) as part
  of Algebraic Geometry NorthEastern Series (AGNES)\n\n\nAbstract\nFor a ve
 ry general polarized K3 surface over the rational numbers\, it is a conseq
 uence of the Tate conjecture that the Picard rank jumps upon reduction mod
 ulo any prime. This jumping in the Picard rank is countered by a drop in t
 he size of the Brauer group. In this talk\, I will report on joint work wi
 th Brendan Hassett and Anthony Várilly-Alvarado\, in which we consider th
 e following: Given a non-trivial Brauer class on a very general polarized 
 K3 surface over Q\, how often does this class become trivial upon reductio
 n modulo various primes? This has implications for the rationality of redu
 ctions of cubic fourfolds as well as reductions of twisted derived equival
 ent K3 surfaces.\n
LOCATION:https://researchseminars.org/talk/AGNES/6/
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