Tatsuki Hayama : The moduli spaces of degenerating Hodge structures: a generalization of the toroidal compactification

Posted by , part of the Algebraic Geometry Seminar.

At

Oct. 21, 2008, 3 p.m.

In

SEO 636

Abstract

l will talk about the moduli spaces of degenerating Hodge structures introduced by Kato-Usui recently. This moduli space is also a partial compactification of some discrete quotient of a period domain. In the case where the period domain is Hermitian symmetric, the moduli space is well-known because it is a toroidal partial compactification introduced by Mumford et al. On the other hand, without the assumption of the Hermitian symmetric property, the moduli space is less well understood. I will explain a distinction between the cases where the period domain is Hermitian symmetric and otherwise, and introduce my latest result.