Видеотека: Peter Heinzner, The convex hull of compact adjoint orbits

ВИДЕОТЕКА


Российско-германская конференция по многомерному комплексному анализу 2 марта 2012 г. 11:30, г. Москва, МИАН

The convex hull of compact adjoint orbits Peter Heinzner Ruhr-Universität Bochum
Аннотация: The Satake–Furstenberg compactification of a real symmetric space of non-compact type is closely related to the convex hull $\hat{\mathrm O}$ of a $K$-orbit $\mathrm O$ in $\mathfrak p$, where $\mathfrak g=\mathfrak k+\mathfrak p$ denotes a Cartan decomposition of the Lie algebra of a semisimple Lie group $G$. In this talk we give a precise description of $\hat{\mathrm{O}}$ in terms of the geometry of $\mathrm O$ given by compact orbits of minimal parabolic subgroups of $G$ in $\mathrm O$. Язык доклада: английский