Abstract: The main result I will discuss states that there exists a sequence of closed minimal surfaces in high-dimensional Euclidean spheres which converge (around most points) to the hyperbolic plane. The proof is based on a surprising connection between minimal surfaces in spheres, random permutations and convergence of unitary representations.

Biography: Antoine Song is an assistant professor at Caltech. He obtained his PhD at Princeton with Fernando Codá Marques, before going to UC Berkeley for a postdoc. One of his current research interests is to connect minimal surface theory with other fields like representation theory.

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