Title: Towards the dual motivic Steenrod algebra in positive characteristic,
Abstract: The dual motivic Steenrod algebra with mod $\ell$ coefficients was computed
by Voevodsky over a base field of characteristic zero, and by Hoyois, Kelly,
and {\O}stv{\ae}r over a base field of characteristic $p \neq \ell$. In the
case $p = \ell$, we show that the conjectured answer is a retract of the actual
answer. We also describe the slices of the algebraic cobordism spectrum $MGL$:
we show that the conjectured form of $s_n MGL$ is a retract of the actual
answer.