University of Calgary

Lattice Polarized K3 Surfaces and Siegel Modular Forms

Submitted by ccunning on Tue, 11/17/2009 - 2:58pm.
Nov 19 2009 - 4:00pm
Nov 19 2009 - 5:00pm
Speaker: 

Adrian Clingher, University of Missouri

Location: 
In Calgary at BioSci 540 B; in Edmonton at 2-59A; Vancouver at West Mall Annex 110.

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.