A bridge between Random Matrix Theory and Schramm-Loewner Evolutions

par Vlad Margarint (University of North Carolina Charlotte)

mercredi 12 mars 2025, 12:00 → 13:00 Europe/Paris

Amphithéâtre Léon Motchane (IHES)

Abstract:

I will describe a newly introduced toolbox that connects two areas of Probability Theory: Schramm-Loewner Evolutions (SLE) and Random Matrix Theory. This machinery opens new avenues of research that allow the use of techniques from one field to another. One aspect of this research direction is centered in an interacting particle systems model, namely the Dyson Brownian motion. In the first part of the talk, I will introduce basic ideas of SLE theory, then I will describe the connection with Random Matrix Theory via a first application of our method. I will finish the talk with some open problems that emerge using this newly introduced toolbox. This is a joint work with A. Campbell and K. Luh.