Thematic program seminar Title. (q, t)hook formula for dcomplete posets
 Lecturer. Masao Ishikawa, University of the Ryukyus, Japan
 Date. July 3, 2015
 Time. 15:30
 Venue. CAMP Seminar Room (L)
 Abstract. Okada showed that a (q,t)analogue of the hook formula holds for the Young diagrams and the shifted diagrams, and made a general conjecture for dcomplete posets. Proctor defined the dcomplete posets combinatorially and classified them into 15 irreducible ones which includes the Shapes (Young diagrams) and the Shifted Shapes (shifted Young diagrams). We give a proof of his conjecture for Birds and Banners using the Pierri rules of the Macdonald polynomials and Gasper’s identity for very well poised series 12W11.

