English

Configurations of flags in orbits of real forms

Algebraic Geometry 2018-03-01 v1 Representation Theory

Abstract

In this paper we start the study of configurations of flags in closed orbits of real forms using mainly tools of GIT. As an application, using cross ratio coordinates for generic configurations, we identify boundary unipotent representations of the fundamental group of the figure eight knot complement into real forms of PGL(4,C)\mathrm{PGL}(4,\mathbb{C}).

Keywords

Cite

@article{arxiv.1802.10315,
  title  = {Configurations of flags in orbits of real forms},
  author = {Elisha Falbel and Marco Maculan and Giulia Sarfatti},
  journal= {arXiv preprint arXiv:1802.10315},
  year   = {2018}
}