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SUMMARY:Salim Tayou (Harvard)
DTSTART:20201006T203000Z
DTEND:20201006T213000Z
DTSTAMP:20260405T044038Z
UID:MITNT/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/10/">E
 xceptional jumps of Picard rank of K3 surfaces over number fields</a>\nby 
 Salim Tayou (Harvard) as part of MIT number theory seminar\n\n\nAbstract\n
 Given a K3 surface X over a number field K\, we prove that the set of prim
 es of K where the geometric Picard rank jumps is infinite\, assuming that 
 X has everywhere potentially good reduction. This result is formulated in 
 the general framework of GSpin Shimura varieties and I will explain other 
 applications to abelian surfaces. I will also discuss applications to the 
 existence of rational curves on K3 surfaces. The results in this talk are 
 joint work with Ananth  Shankar\, Arul Shankar and Yunqing Tang.\n
LOCATION:https://researchseminars.org/talk/MITNT/10/
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