Totally Symmetric Self-Complementary Plane Partitions and Quantum   Knizhnik-Zamolodchikov equation: a conjecture
  We present a new conjecture relating the minimal polynomial solution of the level-one $U_q(\frak{sl}(2))$ quantum Knizhnik-Zamolodchikov equation for generic values of $q$ in the link pattern basis and some $q$-enumeration of Totally Symmetric Self-Complementary Plane Partitions. 
P. Di Francesco