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Explore a 53-minute lecture by Mark Andrea de Cataldo from Stony Brook University discussing the decomposition theorem for the logarithmic Hitchin fibration. Learn about ongoing joint research with Andres Fernadez Herrero, Roberto Fringuelli, and Mirko Mauri focused on the moduli space of semistable logarithmic principal G-Higgs bundles on a smooth curve. Discover how the researchers exhibit a uniform description of the decomposition theorem for the corresponding Hitchin fibration of degree d logarithmic G-Higgs bundles, where d is any given degree in the algebraic fundamental group of G.
