Seminario Geometría
Decomposition theorem for the logarithmic Hitchin fibration
Ponente: Andrés Fernández Herrero (University of Pennsylvania, Philadelphia)Fecha: miércoles 17 de diciembre de 2025 - 11:30Lugar: Aula Gris 2, ICMAT
Resumen:
This talk will focus on the intersection cohomology of the moduli space of semistable logarithmic G-Higgs bundles on a smooth curve, where G is a reductive group. For any given degree d in the algebraic fundamental group of G, I will explain a uniform description of the decomposition theorem for the corresponding Hitchin fibration of degree d logarithmic G-Higgs bundles. I will also discuss consequences to cohomological degree independence in this setting. This is based on joint work with Mark Andrea de Cataldo, Roberto Fringuelli and Mirko Mauri.
