中科院数学与系统科学研究院
数学研究所
调和分析及其应用研究中心
学术报告
调和分析和偏微分方程研讨班
报告人：Yumeng Ou (UPenn)
题 目：Recent progress on Falconer distance set problem in high dimensions
时 间：2024.07.30（星期二）16:00-17:00
地 点：S813
摘 要: Falconer distance set conjecture says that in d dimensional Euclidean space, any compact set with Hausdorff dimension larger than d/2 must generate a distance set whose Lebesgue measure is strictly positive. The conjecture is a central open problem in geometric measure theory and has close connection to Fourier restriction theory and decoupling in harmonic analysis. In this talk, I’ll discuss some recent progress towards the conjecture in dimension three and higher. This is joint work with Xiumin Du, Kevin Ren, and Ruixiang Zhang.
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