MATH Seminar: “Rational points on the Noether-Lefschetz locus of K3 moduli spaces”, Domenico Valloni, 3:40PM March 10 (EN)

You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar

Speaker: Domenico Valloni (Hannover)
“Rational points on the Noether-Lefschetz locus of K3 moduli spaces”

Abstract: Let L be an even hyperbolic lattice and denote by F_L the moduli space of L-polarized K3 surfaces. This parametrizes K3 surfaces X together with a primitive embedding of lattices L —>NS(X) and, when L = 2d >, 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 bar{Q}-point of F_L has generic Néron-Severi lattice (that is, NS(X) cong L). The criterion is of arithmetic nature and only uses properties of covering maps between Shimura varieties.

Date: Friday, 10 March 2023
Time: 15:40 (GMT+3)
Place: Zoom

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