Department of Mathematics and Statistics at the Faculty of Science
Adrian Clingher, University of Missouri
Abstract: I will discuss a special family of complex algebraic K3 surfaces polarized by the rank seventeen lattice H+E8+E7. In terms of Hodge theory, these surfaces are naturally related to principally polarized abelian surfaces. I will outline the geometry of the correspondence as well as present an explicit classification of these special K3 surfaces in terms of Siegel modular forms. This is joint work with Charles Doran.