Refined Cauchy/Littlewood Identities and Their Applications to KPZ Models
By Takashi Imamura
Fredrickson-Andersen $2$-spin Facilitated Model: Sharp Threshold
By Cristina Toninelli
Appears in collection : Teichmüller Theory: Classical, Higher, Super and Quantum / Théorie de Teichmüller : classique, supérieure, super et quantique
I will describe a program to describe Hitchin components as the moduli space of some new geometric structure on the surface. This geometric structure generalizes the complex structure. Its construction uses the punctual Hilbert scheme of the plane. It should give a unified description of Hitchin components without fixed complex structure on the surface. I also present a generalization to character varieties for non split real groups in the spirit of G-Higgs bundles.