Nonabelian mixed Hodge structures - Carlos Simpson

AGNES 2023
April 28, 2023
Stony Brook University
Speaker: Carlos Simpson (University of Nice)
Abstract: With Ludmil Katzarkov and Tony Pantev in the 1990's, we defined and investigated a notion of nonabelian mixed Hodge structures. This is related to the Morgan-Hain MHS on rational homotopy and the Malcev completion of the fundamental group, and to Hain's MHS on the relative completion and the MHS on the local ring of the character variety in work with Eyssidieux. These generalize to schematic homotopy types in work of Katzarkov-Pantev-Toen and Pridham. After talking about these structures, we'll look at weights that come from noncompactness of the base variety and how these relate to parabolic structures.
Additional information here: sites.google.c...