Olivier Guichard - Positivity in flag manifolds and positive representations
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 2021-09-06

This talk is based on joint works with Anna Wienhard and François Labourie.
In a number of situations, an action on a flag manifold is well controlled via a structure mimicking the orientability of the circle. After reviewing the classical examples of such structures, we will propose an axiomatization of them leading to a complete classification. We will then describe some properties of corresponding positive actions or representations.