Time: 9h00, Wednesday, January 2, 2019
Location: Rom 611-612, Building A6, Institute of Mathematics
Abstract: By a motivic cohomology theory of schemes, we mean/want a cohomology theory of schemes that contain both the geometric and the arithmetic information of schemes, with certain universal properties, constructed out of algebraic cycles. For smooth k-schemes, it was proven by V. Voevodsky that higher Chow groups of S. Bloch provide a model for motivic cohomology.

For singular schemes, from the work of Bloch-Esnault around 2000s, various people tried to understand the conjectural motivic cohomology of some of them. In this talk, we give a sketch of a new algebraic cycle model of a particular class of singular k-schemes, and give some consequences of it. This is based on an on-going joint work with Sinan Ünver.