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SUMMARY:Joseph Silverman (Brown University)
DTSTART:20220303T223000Z
DTEND:20220303T233000Z
DTSTAMP:20260423T040709Z
UID:JNTS/37
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JNTS/37/">Or
 bits on tri-involutive K3 surfaces</a>\nby Joseph Silverman (Brown Univers
 ity) as part of Columbia CUNY NYU number theory seminar\n\n\nAbstract\nLet
  $\\mathcal W$ be a surface in $\\mathbb P^1 \\times \\mathbb P^1 \\times 
  \\mathbb P^1$ given by the vanishing of a (2\,2\,2) form. The three proje
 ctions $\\mathcal W \\to  \\mathbb P^1 \\times  \\mathbb P^1$ are  double 
 covers that induce three non-commuting involutions on $\\mathcal W.$  Let 
 $G$ be the group of automorphisms of $\\mathcal W$ generated by these invo
 lutions. We investigate the $G$-orbit structure of the points of $\\mathca
 l W$. In particular\, we study $G$-orbital components over finite fields a
 nd finite $G$-orbits in characteristic 0. This is joint work with Elena Fu
 chs\, Matthew Litman\, and Austin Tran.\n
LOCATION:https://researchseminars.org/talk/JNTS/37/
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