Séminaire de Mathématique

Positive Configurations of Flags and Limits of Positive Representations

by Prof. Giuseppe Martone (University of Southern California & IHES)

Amphithéâtre Léon Motchane (IHES)

Amphithéâtre Léon Motchane


Le Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette

Parreau compactified the Hitchin component of a closed surface S of genus greater or equal to two in such a way that a boundary point corresponds to the projectivized length spectrum of an action of \pi_1(S) on an R-building. We will explain how to use the positivity properties of Hitchin representations introduced by Fock and Goncharov to explicitly describe the geometry of a preferred collection of apartments in the limiting building.