UBC Topology Seminar: Eric Primozic

For k a perfect field of characteristic p > 0 and G a split reductive group over k with p a non-torsion prime for G, we compute the mod p motivic cohomology of the geometric classifying space BG_(r), where G_(r) is the rth Frobenius kernel of G. Our main tool is a motivic version of the Eilenberg-Moore spectral sequence, due to Krishna.