Explicit modularity of K3 surfaces with complex multiplication of large degree
Presenter
July 8, 2025
Abstract
We consider the transcendental motive of three K3 surfaces X conjectured to have complex multiplication (CM). Under this assumption, we match these to explicit algebraic Hecke quasi-characters, and CM abelian threefolds. This provides substantial evidence that a power of A corresponds to X under the Kuga-Satake correspondence.