The conference will be held at Tsinghua University from July 12 to July 14, 2023, as a satellite conference of the first International Congress of Basic Science (ICBS) on Geometric Analysis. OrganizersHuai-Dong CaoLehigh UniversityShiu-Yuen ChengTsinghua UniversityKefeng LiuUCLA & Chongqing University of TechnologyShing-Tung YauTsinghua UniversityLocal OrganizersZhangli LinBIMSAZhuo LiuBIMSAXia...
Let X be a compact arithmetic hyperbolic 3-manifold. Let f be a Hecke-Maass form on X, which is a joint eigenfunction of the Laplacian and Hecke operators. In this talk, I will talk about the L^2 restriction norm problems of f with high frequency. I will present a power-saving bound over the local bound by Burq, Gérard, and Tzvetkov for the L^2 norm of f restricted to a totally geodesic surface...
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