Morrow Lab

Research focus

ERC Consolidator Grant · 2020

Motivic Cohomology of Schemes

The project belongs to the field of arithmetic algebraic geometry and is centred around algebraic K-theory, motivic cohomology, and topological cyclic homology. The overall goal is to develop a general theory of motivic cohomology for arbitrary schemes, extending the existing theory of Bloch, Levine, Suslin, Voevodsky, and others in the special case of smooth algebraic varieties. This will describe non-connective algebraic K-theory via an Atiyah--Hirzebruch spectral sequence. The project relies on very recent breakthroughs in algebraic K-theory and topological cyclic homology In the case of singular algebraic varieties, our goal will be to develop a theory of motivic cohomology which both…

From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.