Completions of period mappings

Abstract: It’s a long standing problem in Hodge theory to complete the image of a period map. The latter arise in the study of algebraic moduli, and are proper holomorphic maps into locally homogeneous spaces that are subject to a differential constraint. I’ll give a survey of the problem and then describe recent progress, with an emphasis on the role of complex geometry and Lie theory. Joint with Mark Green and Phillip Griffiths.

differential geometry

Audience: researchers in the topic

B.O.W.L Geometry Seminar