Center & Programs
Workshop on Flag Domains and Cycle Spaces
Three Constructions Associated to a Nilpotent Orbit
SPEAKER | Mark Green
DATE | May 26(Fri), 2017
TIME | 11:20
PLACE | 1503
ABSTRACT | This talk, a follow-up to the one by Phillip Griffiths, will survey some recent joint work with P. Griffiths, R. Laza and C. Robles. One of the overall themes of our work has been multi-parameter families of varieties and how the variation of their Hodge structures reflects their geometry, in particular, the relationship between the singularities the varieties acquire and the degeneration of their Hodge structures. Associated to such a multiparameter family is a nilpotent orbit over a product of punctured discs. Some interesting algebraic invariants of such nilpotent orbits we have been studying are a semisimple Lie algebra, a monomial map that fills in across the punctures, and a metric on the determinants of the Hodge filtration bundles det(F^p).