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SUMMARY:Sarah Frei (Rice University)
DTSTART:20220225T003000Z
DTEND:20220225T020000Z
DTSTAMP:20260423T005845Z
UID:UCSBsga/35
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSBsga/35/"
 >Reduction of Brauer classes on K3 surfaces</a>\nby Sarah Frei (Rice Unive
 rsity) as part of UCSB Seminar on Geometry and Arithmetic\n\n\nAbstract\nF
 or a very general polarized K3 surface over the rational numbers\, it is a
  consequence of the Tate conjecture that the Picard rank jumps upon reduct
 ion modulo any prime. This jumping in the Picard rank is countered by a dr
 op in the size of the Brauer group. In this talk\, I will report on joint 
 work with Brendan Hassett and Anthony Várilly-Alvarado\, in which we cons
 ider the following: Given a non-trivial Brauer class on a very general pol
 arized K3 surface over Q\, how often does this class become trivial upon r
 eduction modulo various primes? This has implications for the rationality 
 of reductions of cubic fourfolds as well as reductions of twisted derived 
 equivalent K3 surfaces.\n
LOCATION:https://researchseminars.org/talk/UCSBsga/35/
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