Alberto Merici: Connectivity and purity of logarithmic motives

I will present a generalisation of Morel’s Connectivity Theorem to the category of logarithmic motives over a field of Binda–Park–Østvær, leading to the construction of a homotopy t-structure. The heart of this t-structure is the category of strictly cube-invariant logarithmic sheaves, which generalises Voevodsky’s category of homotopy invariant sheaves. If time permits, I will explain the relation with the category of reciprocity sheaves of Kahn–Saito–Yamazaki–Rülling. The talk is based on a joint work with Federico Binda.