Date:
Thu, 03/11/202211:00-12:00
Location:
Ross 70
We discuss
1. cohomology theories on the category of smooth schemes over a field or a base scheme,
2. categories of motives as an instrument for study of cohomology theories, and
3. algebro-geometric instruments that allow us to construct morphisms and prove relations.
In particular, we discuss vanishing and computational results for cohomology theories represented by suspension spectra of smooth schemes in the stable motivic homotopy category obtained by the use of Gabber-style presentation lemmas and by the use of Voevodsky’s framed correspondences.
1. cohomology theories on the category of smooth schemes over a field or a base scheme,
2. categories of motives as an instrument for study of cohomology theories, and
3. algebro-geometric instruments that allow us to construct morphisms and prove relations.
In particular, we discuss vanishing and computational results for cohomology theories represented by suspension spectra of smooth schemes in the stable motivic homotopy category obtained by the use of Gabber-style presentation lemmas and by the use of Voevodsky’s framed correspondences.