Rikuto Ito (Nagoya University)

Algebra & Geometry Seminar
Tuesday, November 26th, 2024

Time: 3:30 p.m.  Place: Jeffery Hall, Room 422

Speaker:  Rikuto Ito (Nagoya University)

Title: Potential modularity of K3 surfaces with complex multiplication

Abstract: Let X be a K3 surface defined over a number field k. Let T(X) be the transcendental lattice of H^2(X, Q(1)) of rank 22-ρ(X) where ρ(X) is the Picard number of X. We prove that T_ℓ(X, k) is modular if X has complex multiplication over k.