Motives of moduli spaces of bundles on curves
Platica dada por Victoria Hoskins (Radboud University Nijmegen) en Geometry and Quantization of Moduli Spaces — 5,6 and 7 July, 2021
Abstract: Various computations of cohomological invariants of moduli spaces of vector bundles and Higgs bundles on curves should be both unified and refined by working with motivic invariants, which encode finer invariants, like Hodge structures on cohomology groups and also algebro-geometric invariants such as Chow groups. In this talk, I will present joint work with Lie Fu and Simon Pepin Lehalleur, studying the rational Chow motives of various moduli spaces of vector bundles on curves with additional structure (such as a Higgs field or parabolic structure). After a short introduction to Chow motives, I will present some results which hold for bundles of arbitrary rank. Finally, I will give some explicit formulas in ranks 2 and 3.
Pagina de VBAC – Vector Bundles on Algebraic Curves