Time: 14:00-15:00, Wednesday, October 30 2024
Venue: E4-233, Yungu Campus
Host: Thierry De Pauw, ITS
Speaker: Philippe Marchal, C.N.R.S., Université Paris 13
Biography: Professor Marchal studied at the École Normale Supérieure and graduated with a PhD in mathematics from the Université Paris 6 in 1999. He obtained the “Habilitation à diriger des recherches” from the Université Paris 6 in 2010. Since the year 2000, he is a researcher with the C.N.R.S., first working at the École Normale Supérieure and now at the Université Paris 13. His scientific interests lie in probability, specifically Lévy processes, random trees, and random generation.
Title: Young tableaux as random surfaces
Abstract: Young tableaux appear in several areas of mathematics but here, we will focus on their probabilistic properties. The setting is the following: fix a Young diagram and choose a standard filling at random. If we interpret the entries in the diagram as heights, this gives rise to a random surface. We study these random surfaces and prove asymptotic results which involve Gaussian laws, the Tracy-Widom distribution and Mittag-Leffler distributions.
