Geometry, Topology and Dynamics Seminar
Nick McCleerey
Northwestern
Envelopes with Prescribed Singularities
Abstract: Motivated by questions about the geodesic structure of the space of Kahler metrics on a singular variety, we prove some regularity results about envelopes of quasi-plurisubharmonic functions with a given ``singularity type". We also give a partial answer to a question of Ross--Witt-Nystr\"om concerning the Hele-Shaw flow on an arbitrary Riemann surface.
Monday September 17, 2018 at 3:00 PM in 636 SEO