报告题目：Restriction conjecture, Bochner-Riesz conjecture and eigenfunction estimates

报告人：浙江大学  席亚昆教授  

邀请人：王兴

报告时间：2026/4/7

报告地点：数学院425

报告摘要：This talk presents sharp microlocal Kakeya–Nikodym estimates that unify progress on the restriction problem, Bochner–Riesz summability, and Laplace eigenfunction bounds. For Hörmander operators with positive-definite phases we achieve optimal off-diagonal mapping ranges in all dimensions. For Fourier extension operators and spectral projectors on constant-curvature manifolds, a new anisotropic version of the norm captures multiscale tube clustering and yields stronger results than previously known.

报告人简介：浙江大学数学科学学院百人计划研究员、博士生导师，国家级青年人才。主要从事经典调和分析及流形上的调和分析研究，相关成果发表于 Camb. J. Math.、Amer. J. Math.、Proc. Lond. Math. Soc.、Comm. Math. Phys.、Peking Math. J.、Adv. Math.、Trans. Amer. Math. Soc.、J. Funct. Anal.、Pure Appl. Anal. 等国际一流期刊。主持国家重点研发计划“青年科学家”项目、国家自然科学基金面上项目及浙江省自然科学基金杰出青年基金。