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Maximal $\Lambda(p)$--subsets of manifolds
Algebraic Geometry and Number Theory| Speaker: | Hongki Jung, Louisiana State University |
| Related Webpage: | https://sites.google.com/view/hongkijung/home |
| Location: | 2112 MSB |
| Start time: | Tue, Nov 18 2025, 1:10PM |
In 1989, Bourgain proved the existence of maximal $\Lambda(p)$--subsets within the collection of mutual orthogonal functions. We shall explore the Euclidean analogue of $\Lambda(p)$—sets through localization. As a result, we construct maximal $\Lambda(p)$--subsets on a large class of curved manifolds, in an optimal range of Lebesgue exponents $p$. This is joint work with C. Demeter and D. Ryou.