Título: Kahane's Gaussian Multiplicative Chaos and Circular Random Matrices match exactly.

Palestrante: Reda Chhaibbi, University Paul Sabatier, Toulouse
Data: 02/06/2021.
Horário: 13:00h
Local: Transmissão online.

Confira AQUI o link para transmissão.
ID da reunião: 958 0581 3232

Resumo: In this talk, I would like to advertise the strict equality between two objects from very different areas of mathematical physics: - Kahane's Gaussian Multiplicative Chaos (GMC), which uses a log-correlated field as input and plays an important role in certain conformal field theories - A reference model in random matrices called the Circular Beta Ensemble (CBE). The goal is to give a precise theorem whose loose form is GMC = CBE. Although it was known that random matrices exhibit log-correlated features, such an exact correspondence is quite a surprise.