Date: Tuesday, 21 Adar 5766 (March 21, '06)

Speaker: Amitai Regev (Weizmann Institute)

Title: "Expected lengths and distribution functions for partitions of 
       bounded length"

Abstract:
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Following Baik and Rains, we consider certain Plancherel measures on
partitions of bounded length, then calculate the asymptotics of the expected
shape of the corresponding diagrams. We also calculate the distribution
functions of the corresponding row-lengths. This might be considered as the
restriction of the fundamental work of Baik, Deift and Johansson to
partitions of bounded length. The above asymptotics are given by ratios of
certain Selberg-type multi-integrals.