Hyperbolic monopoles and pluricomplex geometry
主讲人: Lorenz Schwachhoefer (Technische Universitaet Dortmund)
活动时间: 从 2011-07-22 00:00 到 00:00
场地: Room 1218 at BICMR, Resource Plaza, Peking University
Title: Hyperbolic monopoles and pluricomplex geometry
Speaker: Lorenz Schwachhoefer (Technische Universitaet Dortmund)
Time: July 22, Friday, 2011, 14:00-16:00 pm
Venue: Room 1218 at BICMR, Resource Plaza, Peking University
Abstract: We investigate the moduli space of hyperbolic monopoles which are solutions to a certain differential equation. We show that this moduli space has a very special geometric structure: It admits a family of complex structures, parametrized by the $2$-sphere, but it is not hypercomplex. This structure sheds some light on the geometry of this space.