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SUMMARY:Benjamin Church (MIT)
DTSTART:20260915T214500Z
DTEND:20260915T224500Z
DTSTAMP:20260921T135116Z
UID:MITNT/141
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/141/">
 p-adic Siegel disks on K3 surfaces</a>\nby Benjamin Church (MIT) as part o
 f MIT number theory seminar\n\nLecture held in Room 2-449 in the Simons Bu
 ilding (building 2).\n\nAbstract\nMcMullen constructed interesting automor
 phisms of complex K3 surfaces that have positive entropy\, hence act chaot
 ically on a large set\, yet have a region of well-behaved orbits where the
  action is equivalent to a rotation. This region is called a Siegel disk. 
 Strikingly\, a K3 with such an automorphism is necessarily non-projective\
 , its properties accessible only through the Torelli theorem.\n\nIn this t
 alk\, we will build a p-adic analog of McMullen's living on a non-projecti
 ve p-adic analytic K3 surface. We can synthesize this surface without appe
 aling to the Torelli theorem\, making the construction more flexible.\n
LOCATION:https://researchseminars.org/talk/MITNT/141/
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