Polynomially effective equidistribution for unipotent orbits in products of ${\mathrm{SL}}_2$ factors

Elon Lindenstrauss, Amir Mohammadi, Lei Yang

We sketch the proof of an effective equidistribution theorem for one-parameter unipotent subgroups in $S$-arithmetic quotients arising from $\mathbf{K}$-forms of $\mathrm{SL}_2^{\ma…