Moduli Spaces with Abelian Motives

Explore a lecture on "Moduli spaces with abelian motives" presented by Victoria Hoskins from Radboud University as part of the Joint IAS/PU Arithmetic Geometry series. Discover how various moduli spaces of bundles on smooth projective curves possess abelian motives, beginning with a formula for the motive of the stack of vector bundles in Voevodsky's category of motives with rational coefficients. Learn how conservatively properties for abelian motives can be utilized to obtain motivic formulae and provide motivic lifts of known cohomological phenomena, including chi-independence and mirror symmetry. This 1-hour 15-minute talk, scheduled for March 24, 2025, at 3:35pm in Simonyi 101 (with remote access available), presents joint research with Simon Pepin Lehalleur at the Institute for Advanced Study.