On the Doubly Refined Enumeration of Alternating Sign Matrices and   Totally Symmetric Self-Complementary Plane Partitions
  We prove the equality of doubly refined enumerations of Alternating Sign Matrices and of Totally Symmetric Self-Complementary Plane Partitions using integral formulae originating from certain solutions of the quantum Knizhnik--Zamolodchikov equation. 
T. Fonseca and P. Zinn-Justin