Keyao Peng (Université Grenoble Alpes) : MW-motivic cohomology of linear algebraic groups and Stiefel

We present some computations in MW-motivic cohomology.
Following the classical computations and using the analogue in
A1-homotopy of the Leray spectral sequence, we compute the (η-inverted)
MW-motivic cohomology of linear algebraic groups and Stiefel varieties,
obtaining, in particular, the computation of the (η-inverted) MW-motivic
cohomology of the symplectic groups Sp2n and the general linear groups
GLn. We also make a conjecture on the MW-motivic cohomology of Stiefel
varieties.