Algebraic Geometry Seminar
Tatsuki Hayama
Osaka University
The moduli spaces of degenerating Hodge structures: a generalization of the toroidal compactification
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.
Tuesday October 21, 2008 at 3:00 PM in SEO 636