# Abstract

 Speaker: Amitai Regev (Weizmann Institute of Science, Israel) Title: $S_{\infty} representations and combinatorial identities Abstract: For various probability measures on the space of the infinite standard Young tableaux we study the probability that in a random tableau, the$(i,j)^{th}$entry equals a given number$n\$. The analysis of these probabilities leads to many explicit combinatorial identities, some of which are related to hypergeometric series. This work was done jointly with G. Olshansky (Moscow).