Bi-Co Math Colloquium with Yumeng Ou
University of Pennsylvania Assistant Professor of Mathematics Yumeng Ou will give a talk titled "Distance Problems and Projections of Measures."
Abstract:
The Falconer distance conjecture states that if a compact set in Rd has Hausdorff dimension larger than d/2, then its distance set must have positive Lebesgue measure. The conjecture and its variants have attracted a great amount of attention from geometric measure theory and Fourier analysis over the decades. We will introduce some recent developments towards them, among which different types of projection theorems of fractal measures play a key role.
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