Non-abelian Hodge moduli spaces and homogeneous affine Springer fibers

Roman Bezrukavnikov, Pablo Boixeda Alvarez, Michael McBreen +1

Starting from a homogeneous affine Springer fiber $F{l}_{\psi }$, we construct three moduli spaces that correspond to the Dolbeault, de Rham and Betti aspects of a hypothetical Simpson cor…