  We introduce area, bounce and dinv statistics on decorated parallelogram
polyominoes, and prove that some of their q,t-enumerators match $\langle
\Delta_{h_m} e_{n+1}, s_{k+1,1^{n-k}} \rangle$, extending in this way the work
in (Aval et al. 2014). Also, we provide a bijective connection between
decorated parallelogram polyominoes and decorated labelled Dyck paths, which
allows us to prove the combinatorial interpretation of the coefficient
$\langle\Delta_{e_{m+n-k-1}}'e_{m+n}, h_m h_n \rangle$ predicted by the Delta
conjecture in (Haglund et al. 2015). Finally, we define a statistic pmaj on
partially labelled Dyck paths, which provides another conjectural combinatorial
interpretation of $\Delta_{h_{\ell}}\Delta_{e_{n-k-1}}'e_n$, cf. (Haglund et
al. 2015).
  This is an extended abstract of (D'Adderio, Iraci 2017): this forthcoming
publication will have proofs and additional details and results.
