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SUMMARY:Dominico Valloni (Hannover)
DTSTART:20230310T124000Z
DTEND:20230310T134000Z
DTSTAMP:20260423T052711Z
UID:OBAGS/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OBAGS/20/">R
 ational points on the Noether-Lefschetz locus of K3 moduli spaces</a>\nby 
 Dominico Valloni (Hannover) as part of ODTU-Bilkent Algebraic Geometry Sem
 inars\n\n\nAbstract\nLet L be an even hyperbolic lattice and denote by $\\
 mathcal{F}_L$ the moduli space of L-polarized K3 surfaces. This parametriz
 es K3 surfaces $X$ together with a primitive embedding of lattices $L \\ho
 okrightarrow \\mathrm{NS}(X)$ and\, when $L = \\langle 2d \\rangle $\, one
  recovers the classical moduli spaces of 2d-polarized K3 surfaces. In this
  talk\, I will introduce a simple criterion to decide whether a given $\\o
 verline{ \\mathbb{Q}}$-point of  $\\mathcal{F}_L$ has generic Néron-Sever
 i lattice (that is\, $\\mathrm{NS}(X) \\cong L$). The criterion is of arit
 hmetic nature and only uses properties of covering maps between Shimura va
 rieties.\n
LOCATION:https://researchseminars.org/talk/OBAGS/20/
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