CIRM lectures 2016 Conference Combinatoire algébrique en théorie des représentations Jeu de taquin and asymptotic representation theory Lecture 1, August 28, 2016 Transparencies: Lecture 1A, what happens when RSK is applied to random input? Lecture 1B, jeu de taquin Problems. Lecture 2, September 2, 2016 Lecture 2A, proof of asymptotic determinism of the last box insertion Lecture 2B, characters of S_\infty