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SUMMARY:Joseph Silverman (Brown University)
DTSTART:20220412T203000Z
DTEND:20220412T213000Z
DTSTAMP:20260423T130058Z
UID:MITNT/47
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/47/">O
 rbits on tri-involutive K3 surfaces</a>\nby Joseph Silverman (Brown Univer
 sity) as part of MIT number theory seminar\n\nLecture held in Room 2-449 i
 n the Simons Building (building 2).\n\nAbstract\nLet $W$ be a surface in $
 \\mathbb{P}^1 \\times \\mathbb{P}^1 \\times \\mathbb{P}^1$ given by the va
 nishing of a $(2\,2\,2)$ form. The three projections $W \\to \\mathbb{P}^1
  \\times \\mathbb{P}^1$ are  double covers that induce three non-commuting
  involutions on $W$.  Let $G$ be the group of automorphisms of $W$ generat
 ed by these involutions. We investigate the $G$-orbit structure of the poi
 nts of $W$. In particular\, we study $G$-orbital components over finite fi
 elds and finite $G$-orbits in characteristic 0. This is joint work with El
 ena Fuchs\, Matthew Litman\, and Austin Tran.\n
LOCATION:https://researchseminars.org/talk/MITNT/47/
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