Configurations of flags in orbits of real forms

Elisha Falbel (1, 2) , Marco Maculan (1) , Giulia Sarfatti (3)

1 IMJ-PRG (UMR_7586) - Institut de Mathématiques de Jussieu - Paris Rive Gauche
2 OURAGAN - OUtils de Résolution Algébriques pour la Géométrie et ses ApplicatioNs
3 DiMal - Dipartimento di Matematica e Informatica [Firenze]

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).

Domaines: Mathématiques générales [math.GM]; Variables complexes [math.CV]; Théorie des représentations [math.RT]

Elisha Falbel, Marco Maculan, Giulia Sarfatti. Configurations of flags in orbits of real forms. 2018. ⟨hal-01779459⟩