Positive Configurations of Flags and Limits of Positive Representations

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

Thursday Apr 19, 2018, 10:30 AM → 11:30 AM Europe/Paris

Amphithéâtre Léon Motchane (IHES)

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.