A stability theorem for approximate representations

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• Omid Hatami (University of Cambridge)
• Thursday 04 June 2015, 14:30-15:30
• MR12.

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An approximate unitary representation of a group G is a map f : G → U (n) where n is a positive integer and f (g)f (h) ≈ f (gh) for all g, h ∈ G, where the approximation is in a common norm. Ulam asked in 1940 whether such f can be approximated by an exact representation. We prove that the answer to the Ulam’s question is affirmative when the norm in question is any Schatten p-norm.

This talk is part of the Combinatorics Seminar series.

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