Tuesday, November 22, 14:00, 7.527
Piotr Sniady, Trajectories of jeu-de-taquin and representations of the infinite symmetric group (joint work with Dan Romik)

Abstract:
Jeu-de-taquin is a transformation of Young tableaux which can be described as follows. For a given Young tableau we remove the corner box and let other boxes slide in the unique way. The boxes which have moved form a ``trajectory of the avalanche''. We consider a random infinite Young tableau. In this case the trajectory turns out to converge almost surely to a straight line with a random slope. The value of this slope can be interpreted in terms of the Robinson-Schensted-Knuth algorithm. In this way one can get new information about the dynamical system given by jeu-de-taquin and representations of the infinite symmetric groups.