Séminaire de Mathématique

A Bridge Between Random Matrix Theory and Schramm-Loewner Evolutions

par Vlad Margarint (University of North Carolina Charlotte)

Europe/Paris
Amphithéâtre Léon Motchane (IHES)

Amphithéâtre Léon Motchane

IHES

Le Bois Marie 35, route de Chartres CS40001 91893 Bures-sur-Yvette Cedex
Description

Seed Seminar of Mathematics and Physics

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.

 

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Organisé par

Matteo D’Achille (LMO)
Aymane El Fardi (EIGSI)
Veronica Fantini (LMO)
Emmanuel Kammerer (CMAP)
Edoardo Lauria (LPENS & CAS)
Sophie Mutzel (LPENS & CAS)
Junchen Rong (CPhT)

Contact