Seminar on A1-topology, motives and K-theory

Smooth weight structures and weakly birational objects

by David Kumallagov (SPbU)

Europe/Moscow
818-1526-4739 (Zoom)

818-1526-4739

Zoom

Description

In this talk, we will introduce a family of aisles on the various motivic categories, defined in terms of smooth varieties. These aisles vastly generalize Chow weight structures as well as slice filtrations. Then we will prove that the filtration on $Ht_{hom}$ defined by these aisles can be described in some ''classical'' terms. Next, we will discuss weight structures $w_{Smooth}^{s}$ defined by these aisles. This allows us to construct a filtration on the $Ht^{eff}_{hom}$ with the help of which to prove some results that widely generalize some results of Kahn-Sujatha.

This is a joint work with M. Bondarko.