The Fuglede Conjecture

speaker: Mihail Kolountzakis (University of Crete)

abstract: We will describe progress on the Fuglede Conjecture (are the domains which tile space by translation the same as those whose $L2$ space admits an orthogonal basis of exponentials $\exp(2\pi i \lambda x)$?) during the past 4-5 years, and recent developments including Tao's counterexample in dimension 5.

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