Gog and Magog triangles, and the Schutzenberger involution
  We describe an approach to finding a bijection between Alternating Sign Matrices and Totally Symmetric Self-Complementary Plane Partitions, which is based on the Schutzenberger involution. In particular we give an explicit bijection between Gog and Magog trapezoids with two diagonals. 
Hayat Cheballah and Philippe Biane
math.CO