Título: Kahane's Gaussian Multiplicative Chaos and Circular Random Matrices match exactly.
Palestrante: Reda Chhaibbi, University Paul Sabatier, Toulouse
Local: Transmissão online.
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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.