### DIMACS - RUTGERS EXPERIMENTAL MATHEMATICS SEMINAR

Sponsored by the Rutgers University Department of Mathematics and the
Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

Co-organizers:
Drew Sills, Rutgers University, asills {at} math [dot] rutgers [dot] edu
Doron Zeilberger, Rutgers University, zeilberg {at} math [dot] rutgers [dot] edu

Title: $S_\infty$ representations and combinatorial identities

Speaker: Amitai Regev, Weizmann Institute, Israel

Date: October 21, 2004 4:30-5:30pm

Location: Hill Center, Room 425, Rutgers University, Busch Campus, Piscataway, NJ

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.